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STA301 Solved MCQs +Solved Final Term Papers + Solved Subjective Questions Files

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STA301 Solved MCQs Final Term Papers\

20/dec/2009to29/dec/2010

1. A quantity obtained by applying certain rule or formula is known as

Select correct option:

Estimate

Estimator

2. Criteria to check a point estimator to be good involves

Select correct option:

Consistency

Unbiasedness

Efficiency

Above all pg 258

3. The F-distribution always ranges from:

Select correct option:

0 to 1

0 to -8

-8 to +8

0 to +8

4. 1-a is the probability of ......

Select correct option:

Type 1 error

Rejection region

Acceptance region

Type 2 error

5. Parameter is a ………quantity.

Select correct option:

Constant

Variable

6. To find the estimate of a parameter…….methods are used.

Select correct option:

Two

Three

Four

Many

7. A failing student is passed by an examiner. It is an example of:

Select correct option:

Type I error

Type II error

Correct decision

No information regarding student exams

8. For two mutually exclusive events A and B, P (A) = 0.2 and P (B) = 0.4, then P(AUB) is:

Select correct option:

0.8

0.2

0.6

0.5

P(AUB)=P(A)+p(B)=0.2+0.4=0.6

9. An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn

without replacement. It is the example of:

Select correct option:

Binomial distribution

Hypergrometric distribution

Poisson distribution

Exponential distribution

10. A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 of diamonds:

Select correct option:

1/5

1/13

1/52

11. If P(AnB) = 0.12 P (A) = 0.3, find P (B) where ‘A’ and ‘B’ are independent:

Select correct option:

0.1

0.2

0.3

0.4

0.3X0.4=www.vustudents.ning.com

0.12

12. The mean deviation of the normal distribution is approximately:

Select correct option:

7/8 of the S.D

4/5 of the S.D

3/4 of the S.D

1/2 of the S.D

13. We use the Poisson approximation to the binomial when:

Select correct option:

p is 0.01 or less & n is 10 or more

p is 0.05 or less & n is 20 or more pg221

p is 0.04 or less & n is 15 or more

p is 0.02 or less & n is 10 or more

14. The conditional probability P (A\B) is:

Select correct option:

P(A n B)/P(B) pg157

P(A n B)/P(A)

P(A U B)/P(B)

P(A U B)/P(A)

15. We use the General Rule of Multiplication to combine:

Select correct option:

Events those are not independent

Mutually exclusive events

Events that total more than 1.00

Events based on subjective probabilities

16. Which statement is NOT CORRECT?

Select correct option:

The sample standard deviation measures variability of our sample values

A larger sample will give answers that vary less from the true value than smaller samples

The sampling distribution describes how our estimate (answer) will vary if a new sample is taken

A large sample size always gives unbiased estimators regardless of how the sample is chosen

17. Probability of an impossible event is always:

Select correct option:

Less than one

Greater than one

Between one and zero

Zero

18. The number of parameters in uniform distribution is (are):

Select correct option:

12

pg 224

34

19. The probability can never be:

Select correct option:

1 1/2

1 -

1/2

20. The conditional probability P (A\B) is:

Select correct option:

P(A n B)/P(B)

P(A n B)/P(A)

P(A U B)/P(B)

P(A U B)/P(A)

21. A random sample of n=25 values gives sample mean 83. Can this sample be regarded as drawn

from a normal population with μ= 80 and s= 7? In this question the alternative hypothesis will

be:

Select correct option:

H1: μ = 80

H1: μ ? 80

H1: μ > 80

H1: μ <80 pg 278

22. If f(x) is a continuous probability function, then P(X = 2) is:

Select correct option:

10 1/2

2

23. The binomial distribution is negatively skewed when:

Select correct option:

p>q pg 214

p<q

p=q

p=q=1/2

24. If we roll three fair dices then the total number of outcomes is:

Select correct option:

6 36

216

1296

6^3=216

25. When we draw the sample with replacement, the probability distribution to be used is:

Select correct option:

Binomial

Hypergeometric

Binomial & hypergeometric pg 219

Poisson

26. The moment ratios of normal distribution come out to be:

Select correct option:

0 and 1

0 and 2

0 and 3 pg 226

0 and 4

27. The probability of an event is always:

Select correct option:

less than 1

between o and 1

greater than 1

28. Symbolically, a conditional probability is:

Select correct option:

P(AB)

P(A/B)

P(A)

P(AUB)

29. Suppose the test scores of 600 students are normally distributed with a mean of 76 and

standard deviation of 8. The number of students scoring between 70 and 82 is:

Select correct option:

272

164

260

328

30. If P (A) = 0.3 and P (B) = 0.5, find P (A/B) where ‘A’ and ‘B’ are independent:

Select correct option:

0.3

0.5

0.8

0.15

31. An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn

without replacement. It is the example of:

Select correct option:

Binomial distribution

Hypergrometric distribution

Poisson distribution

Exponential distribution

32. If the second moment ratio is less than 3 the distribution will be:

Select correct option:

Mesokurtic

Leptokurtic

Platykurtic pg 226

None of these

33. For the independent events A and B if P (A) = 0.25, P (B) =0.40 then P (A and B) =……

Select correct option:

0.65

0.1

0.50

0.15

P(A)*P(B)0.25*0www.vustudents.ning.com

40=0.1

34. A set of possible values that a random variable can assume and their associated probabilities of

occurrence are referred to as __________.

Select correct option:

Probability distribution

The expected return

The standard deviation

Coefficient of variation

35. A random variable X has a probability distribution as follows: X | 0 1 2 3 P(X) | 2k 3k 13k 2k

What is the possible value of k:

Select correct option:

0.01

0.03

0.05

0.07

36. The probability of drawing any one spade card is:

Select correct option:

1/52

4/52

13/52

52/52

37. The function abbreviated to d.f. is also called the......

Select correct option:

Probability density function

Probability distribution function pg 172

Commutative distribution function

Discrete function

38. Binomial distribution is skewed to the right if:

Select correct option:

p=q

P<q

p>q

p=n

39. A discrete probability function f(x) is always:

Select correct option:

Zero

One pg 172

Negative

Non-negative

40. For a binomial distribution, n= 10 & q= 0.6, the mean of the distribution is:

Select correct option:

0.6

6.0

10

4

P=1-q

1-0.6=0.4,

mean =np10*0.4=4

41. In the FA examination, 24candidates offered Statistics. If the probability of passing the subject

be 1/3, what will be the mean of the distribution?

Select correct option:

7865

42. The probability that a certain machine will produce a defective item is 1/4. If a random sample

of 6 items is taken from the output of this machine, what is the probability that there will be 5

or more defectives in the sample?

Select correct option:

3/4096

18/4096

19/4096

4/4096

43. Probability of type II error is

Select correct option:

a

B pg 276

1-a

1-B

44. If the values of variables are increasing or decreasing in the same direction then such kind of

correlation is referred as

Select correct option:

Zero Correlation

Perfect Correlation

Positive Correlation

Negative Correlation

45. The moving averages of the Prices 55,60,65,70 are

Select correct option:

70, 75

60, 65

65,65

70,60

46. The best measure of variation is

Select correct option:

Range

Quartile deviation

Variance

Coefficient of variance

47. Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the

best interpretation of this?

Select correct option:

Weak negative.

Strong negative.

Weak positive.

Strong positive.

48. ………use the division of a circle into different sectors. Select correct option:

Line graph

Sector graphs

Frequency Polygon

Conversion Graphs

49. The measurement of measure of degree of to which any two variables vary together is called

Select correct option:

Regression Coefficient

Correlation

Both (a) and (b)

None of these

50. Analysis of Variance (ANOVA) is a test for equality of:

Select correct option:

variances

means

proportions

only two parameters

51. For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73,

number of classes selected between 5 and 15 Then class width will be Select correct option:

15

85

All options 1,2 ,3 are possible

52. If strength of the association between X and Y is very weak, then r = ? Select correct option:

r = - 1

r = 0

r = 1

r = 2

53. The moving averages of the Prices 90,70,30,110 are Select correct option:

63.33, 70

73.33, 80

45.45, 68

65.50, 75

54. With increase in sample size, distribution tends to be a.......

Select correct option:

Meso kurtic

Normal

Bell shaped

Above all

55. In the central tendency Mean, Median and Mode

Select correct option:

Mean is better than Median

Median is better than Mode

Mean is better than Mode

All of these are true

56. The degree to which numerical data tend to spread about an average is called

Select correct option:

The dispersion

Standard deviation

Correlation

None of these

57. …………..graphs are similar to bar graphs.

Select correct option:

column

line

conversion

sector

58. A pattern of variation of a time series that repeats every year is called:

Select correct option:

Cyclical

Seasonal

Trend

Secular

59. In the central tendency Mean, Median and Mode

Select correct option:

Mean is better than Median

Median is better than Mode

Mean is better than Mode

All of these are true

60. The degree to which numerical data tend to spread about an average is called

Select correct option:

The dispersion

Standard deviation

Correlation

None of these

61. …………..graphs are similar to bar graphs.

Select correct option:

column

line

conversion

sector

62. A pattern of variation of a time series that repeats every year is called:

Select correct option:

Cyclical

Seasonal

Trend

Secular

63. You have measured the systolic blood pressure of a random sample of 22 employees of a

company. A 95% con?dence interval for the mean systolic blood pressure for the employees is

computed to be (120,138). Which of the following statements gives a valid interpretation of this

interval?

Select correct option:

About 95% of the sample of employees has a systoli

About 95% of the employees in the company have a

If the sampling procedure were repeated many times

If the sampling procedure were repeated many times

64. Assume that a population consists of 7 similar containers having the following weights (km):

9.8, 10.2, 10.4, 9.8, 10.0, 10.2, 9.6 What is the second moment about mean?

Select correct option:

0.262 kg

0.069kg

0.521 kg

0.313kg

65. How many numbers of parameter(s) are in t-distribution?

Select correct option:

0

1 pg 292

2

3

66. With increase in sample size, distribution tends to be a.......

Select correct option:

Meso kurtic

Normal

Bell shaped

Above all

67. F-distribution is a…………….. distribution.

Select correct option:

Unimodel pg 312

Bimodal

Discrete

Negatively skewed

68. Which one of the following sampling methods would give unbiased results, if you need to find

out the number of people in your town liking vanilla or chocolate ice creams?

Select correct option:

Randomly select a few ice cream shops in town, and

69. A standard deviation obtained from sampling distribution of sample statistics is known as

Select correct option:

Sampling Error

Standard error pg 240

70. If the regression line: Y= 3+5X meets y-axis at ‘8’ units distance from origin then the value of

x-intercept is

Select correct option:

-(3/5)

3/5

11/5

1

71. Sum of three terms whose mean is equal to 90 is

Select correct option:

270

30

Also 90

None of these

270/3=90

72. FREQUENCY Function calculates how often values occur within a range of values.

Select correct option:

true

False

73. Which of the following correlation coefficients represents the weakest correlation between two

variables?

Select correct option:

0.15

-0.15

0.02

-1.00

74. If the value of r is 0.8 ,then the coefficient of determination is

Select correct option:

67%

64%

80%

75%

75. If the dependent variable increases with the independent variable then the coefficient of

correlation is

Select correct option:

0 to -1

0 to – 0.5

0 to -2

0 to 1

76. F- distribution tends to normality, if

Select correct option:

V1~8

V2~8

V1 and V2 ~8

Sample size is large

77. Consistency of an estimator can be checked by comparing

Select correct option:

Mean

MSE

Variance

Standard deviation

78. A standardized estimate has mean and variance

Select correct option:

(1, 0)

(0, 1)

(μ, s2)

(μ, s)

79. A composite hypothesis comprises of ………

Select correct option:

Equality

Not equal to

Less than/greater

(b) and (c)

80. For a particular hypothesis test, a=0.05and B=0.05. The power of test is equal to:

Select correct option:

0.14

0.90

0.95

0.25

81. In a t-distribution

Select correct option:

Mean=median=mode

Mean>Median<Mode

Median >Mean>Mode

Media<Mode<Mean

82. If we reject the null hypothesis, we might be making

Select correct option:

Type I error

Type II error

A correct decision

Unpredictable

83. The Central Limit Theorem is important in Statistics because it allows us to use the normal

distribution to make inferences concerning the population mean:

Select correct option:

Provided that the population is normally distributed a

Provided that the population is normally distributed (

Provided that the sample size is reasonably large (fo

Provided that the population is normally distributed and the population variance is known (for

any sample size)

84. Herbicide A has been used for years in order to kill a particular type of weed, but an

experiment is to

be conducted in order to see whether a new herbicide, Herbicide B, is more effective than

Herbicide A.

Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more www.vustudents.ning.com

effective.

The alternative hypothesis in this problem is that

Select correct option:

Herbicide A is more effective than Herbicide B

Herbicide B is more effective than Herbicide A

Herbicide A is not more effective than Herbicide B

Herbicide B is not more effective than Herbicide A

85. A data in which we study about Regions is called……

Select correct option:

Qualitative

Quantitative

Geographical

Chronological

86. If the median of an arrangement of numbers is equal to the mean of its middle terms then the

arrangement contains

Select correct option:

Odd number of terms

Even number of terms

Unlimited number of terms

Prime number

87. If the graph is very much scattered, then what can be the suitable value of r?

Select correct option:

r = - 0.9

r = -0.5

r = 0.1

r=0.8

88. In scatter diagram, clustering of points around a straight line indicates

Select correct option:

Linear regression

Non-linear regression

Curvilinear linear regression

Both a and b

89. If the standard deviation of a population is 9, the population variance is

Select correct option:

39 21.35

81

90. How many steps are involved in general procedure for testing hypothesis:

4567 91. When testing for independence in a

contingency table with 2

rows and 5

columns, there are

________ degrees of freedom.

4

10

75 r-1*c-1

2-1*5-1=4

92. The critical region is in:

The middle of a distribution

The tails of a distribution

Either the middle or the tails of a distribution

Neither the middle nor the tails of a distribution

93. t-distribution is used to test the hypothesis about.....

Mean

proportion

The term 1-B is called

Level of the test

power of the test

Size of the test

Critical region

94. The asymptotic distribution of t-statistic with n-degree of freedom is

F

Normal

Z T

95. The Gallup Poll has decided to increase the size of its random sample of Canadian voters from

about 1200 people to about 4000 people. The e?ect of this increase is to:

Reduce the bias of the estimate

Increase the standard error of the estimate

Reduce the variability of the estimate

Increase the con?dence interval width for the parameter

96. The value of chi square can never be :

Zero

Less then 1

Greater then 1

Negative

97. The curve of the F- distribution depends upon:

Mean

Variance

Standard Deviation

Sample Size

98. We want to test H0 : μ = 1.5 vs. H1 : μ 6= 1.5 at _= .05 . A 95% confidence interval for μ

calculated from a given random sample is (1.4, 3.6)Based on this finding we:

Fail to reject H0

Reject H0

Cannot make any decision at all because the value of the test statistic is not available

Cannot make any decision at all because (1.4, 3.6) is only a 95%

99. When we want to test the equality of two variances we usually use

F-test

Chi-square test

ANOVA

Z_test

100. To find the estimate of a parameter…….methods are used.

Two

Three

Four

Many

101. In testing hypothesis, we always begin it with assuming that:

Null hypothesis is true

Alternative hypothesis is true

Sample size is large

Population is normal

102. t-distribtion is applicable in case of

Independent samples

Dependent samples

Both (a) and (b)

Normal populations

103. When testing for independence in a contingency table with 3 rows and 4 columns, there are

________ degrees of freedom.

567 12

104. The Chi- Square distribution is continuous distribution ranging from:

0 = ?2= 8

-8 =?2 =0

-8 =?2 =1

-8 = ?2= 8

105. The location of the critical region depends upon:

Null hypothesis

Alternative hypothesis

Value of alpha

Value of test-statistic

106. A random sample of n = 6 has the elements 6, 10,13,14,18 and 20.What is the point

estimate of the population mean?

12

13.5

11

11.5

107. ML estimators may not ………

Consistent

Efficient

Unbiased

Bised

108. Which of the following reveals the weakest fact.

Select correct option:

The measure of central tendency measures that value which depends only on the extreme values

The measure of central tendency measures that value in tha data which occurs in the data most frequent

times.

The measure of central tendency measures the value which has tendency to lie in the central part of the

data.

109. The measure of central tendency measures the distance of values from means

Frequency polygon is …………

Select correct option:

Bar Charts

A line graph

Pareto Chats

None of these

110. A bar graph uses ……to show data.

Select correct option:

Points

Bars

Lines

Pictures

111. Geographical data deals with…

Select correct option:

Religion

Height

Income

Regions

112. Which one provides the basis for hypothesis testing?

Null hypothesis

Alternative hypothesis

Critical value

Test-statistics

113. The test statistic to test the U1 = U2 (U represent the mean of population)for normal

population for n>30.

F-test

Z-test

T-test

Chi-Square test

114. In a t-distribution

Mean=median=mode

Mean>Median<Mode

Median >Mean>Mode

Media<Mode<Mean

115. 1-a is the probability of ......

Type 1 error

Rejection region

Acceptance region

Type 2 error

116. Inferential statistics involves …….

Testing

Confidence interval

Estimation

Above all

117. Probability of type II error is

a

B 1-a

1-B

118. if the equation of regression line is y = 5, then what result will you take out from it?

Select correct option:

The line passes through origin.

The line passes through (5, 0)

The line is parallel to y-axis.

The line is parallel to x-axis.

119. If the estimating equation is Y = a – b X ,Which of the following is true

Select correct option:

a)The y intercept is’b’

b) Slope of line is negative

c) There is inverse relationship

d) b & c

120. The variance of t-distribution, for v >2, is always:

Select correct option:

Greater than zero

Less than one

Equal to one

Greater than one

121. Alpha is the probability of ......

Select correct option:

Rejecting H0

Accepting H0

Rejecting H1

Accepting H1

122. What type of data is collected in population census?

Select correct option:

Two Types

123. The collection of all outcomes for an experiment is called

Select correct option:

a sample space

the intersection of events

joint probability

population

124. Which of the graph is used for a time series data:

Select correct option:

Frequency curve

Frequency polygon

Historigram

Histogram

125. A histogram is consists of a set of adjacent rectangles whose bases are marked off by:

Select correct option:

Class boundaries

Class limits

Class frequency

Class marks

126. The value that has half of the observations above it and half the observations below it is

known as:

Select correct option:

Mean

Median

Mode

Standard deviation

127. The height of a student is 60 inches. This is an example of ...........?

Select correct option:

Continuous data

Qualitative data

Categorical data

Discrete data

128. Range of the values -2,-3,-4,-3,-9,-2,-8,-1,0 is

Select correct option:

0

-9

89

0-9=-9

129. If the both tails of the distribution are equal, then distribution is called:

Select correct option:

J-shaped

Symmetrical

Positively Skewed

Negatively Skewed

130. Ranking scale also include the properties of which scale?

Select correct option:

Nominal scale

Interval scale

Ratio scale

All of these

131. Range of the values -2.50,-3.70,-4.80,-3.10,-9.70,-2.20,-8.90,-1.60, 0.60 is

Select correct option:

10.03

10.30

9.10

9.00

0.60+9.70=10.30

132. What is/are the mode for the following data: 1,m,d,n,,2,d,2,d,s,5,5,7

Select correct option:

2

d5 2,d,5

133. If the standard deviation of a population is 5.5, the population variance is:

Select correct option:

5.5

31

25

30.25

134. What we commonly called a bell shaped distribution:

Select correct option:

syme

bi moder

u shap

skewed

135. The beginnings of a cumulative frequency distribution are presented below. What is the

next number in the Cumulative Frequency column? Classes Frequency Cumulative Frequency

6.1 to 8 1 1 8.1 to 10 2 10.1 to 12 3

Select correct option:

0

123

136. Range of the values -10,- 19, -9, -15, -28, -26, -25 is:

Select correct option:

+18

-18

-19

+19

137. Which one of the following is less than median for a symmetrical distribution:

Select correct option:

50percentile

51 percentile

2quartile

4decile

138. The value of the middle term in a ranked (ordered) data set is called the

Select correct option:

mode

mean

median

harmonic mean

139. Sum of absolute deviations of the values is least when deviations are taken from

Select correct option:

mean

median

mode

g.m

140. Statistic is a numerical quantity, which is calculated from

Select correct option:

data

observation

sample

population

141. The branch of Statistics that is concerned with the procedures and methodology for

obtaining valid conclusions is called:

Select correct option:

descriptive

infernetial

sample

142. How to find the class midpoint?

Select correct option:

Half the sum of upper class limit and lower class limit

Find the difference between consecutive lower limits

Count the number of observations in the class

Divide the class frequency by the number of observ

143. For given data, discuss the shape of the distribution: X f 0.2 8 1.2 15 2.2 23 3.2 40

Select correct option:

Positively skewed

Negatively skewed

Symmetric curve

U- Shaped curve

144. Data classified by attributes are called:

Select correct option:

group

qulitative

quantitive

array

if ‘2’ is a leading digit in 24335, than what are the trailing digits in the observation to

display a ‘Stem-and –Leaf display’.

Select correct option:

4 335

4335

43

145. A frequency polygon is obtained by plotting the class frequencies against what?

Select correct option:

classbounday

cumulative frequency

relative frequency

mid point

146. When more values are lying at the start of the distribution, it is:

Select correct option:

u shape

positive

negative

symmetrica

147. The data for an ogive is found in which distribution:

Select correct option:

A cumulative frequency distribution

A joint frequency distribution

A frequency distribution

A relative frequency distribution

148. Which one of the following is greater than median for a symmetrical distribution:

Select correct option:

1st Decile

7th Decile

44th Percentile

14th Percentile

149. Statistics deals with

Select correct option:

Individuals

Isolated items

Isolated items

Aggregates of facts

150. Data classified by attributes are called:

Select correct option:

Grouped data

Qualitative data

Quantitative data

Arrayed data

151. As a general rule, statisticians tends to use which of the following number of classes when

arranging the data

Select correct option:

Fewer than 5

Between 5 & 20

Between 8 & 15

More than 20

152. The collection of all outcomes for an experiment is called

Select correct option:

a sample space

the intersection of events

joint probability

population

153. If P (E) is the probability that an event will occur, which of the following must be false:

Select correct option:

P(E)= - 1

P(E)=1

P(E)=1/2

P(E)=1/3

154. If we roll a die then probability of getting a ‘2’ will be

Select correct option:

2/6

1/6

4/6

1

155. In a multiplication theorem P (A n B) equals:

Select correct option:

P (A) P (B)

P (A) + P (B)

P (A) * P (B|A) pg 158

P(B\A)*P(B)

156. If Y=3X+5,then S.D of Y is equal to

Select correct option:

9 s.d(x)

3 s.d(x)

s.d(x)+5

3s.d(x)+5

157. In regression line Y=a+bX, X is called:

Select correct option:

Dependent variable

Independent variable

Explained variable

Regressand

158. Symbolically, a marginal probability is:

Select correct option:

P(AB)

P(AUB)

P(A/B)

P(A)

159. Which formula represents the probability of the complement of event A:

Select correct option:

1 + P (A)

1 - P (A)

P (A)

P (A) -1

160. If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) = :

Select correct option:

0.65

0.05

0.03

0.07 not sure

161. The probability of drawing a ‘white’ ball from a bag containing 4 red, 8 black and 3 white

balls is:

Select correct option:

0 3/15

1/12

1/2

Total ball= 4+8+3=15

P=3/15

162. An expected value of a random variable is equal to:

Select correct option:

Variance

Mean

Standard deviation

Quartile

163. When we toss a fair coin 4 times, the sample space consists of….points.

Select correct option:

48 12

16

164. 5C5=

Select correct option:

51 10

25

165. In a probability distribution, the sum of the probabilities is equal to:

Select correct option:

0 0.1

0.5

1

166. The simultaneous occurrence of two events is called:

Select correct option:

Joint probability

Subjective probability

Prior probability

Conditional probability

167. Let E and F be events associated with the same experiment. Suppose the E and F are

independent and that P(E) = 1/4 and P(F) = 1/2 Then P(E U F) is:

Select correct option:

1/8

3/4

7/8

5/8

¼+25 (�jk: �(��ease choose one

Assume that a company total paid in capital of Rs. 57,160,000, Preferred shares Rs.12,000,000 and commons tock Rs. 14,000,000. Calculate the amount of total legal capital of the company.

► Rs. 26,000,000

► Rs. 2000,000

► Rs. 45,160,000

► Rs. 43,160,000

Ref

Total legal capital = 12,000,000 (preferred) +14,000,000 (common) = Rs.26, 000,000

Question No: 26 ( Marks: 1 ) - Please choose one

ABC Company has cumulative preferred stock and three years of dividends are owed. Using the following information, calculate the book value per share of the preferred stock. 9% preferred stock, Rs. 100 par, 300 shares authorized Rs. 3,000 and issued Call price Rs. 109 Retained Earnings Rs. 28,000

► Rs. 109

► Rs. 202

► Rs. 211

► Rs. 118

Question No: 36 ( Marks: 1 ) - Please choose one

Which of the following would be the proper journal entry to record Rs. 1,000 of Dividends paid by ABC Corporation?

► Debit Dividends 1,000; Credit Cash 1,000

► Debit Accounts Payable 1,000; Credit Cash 1,000

► Debit Dividends Expense 1,000; Credit Cash 1,000

► Debit Dividends Expense 1,000; Credit Service Revenue 1,000

Question No: 37 ( Marks: 1 ) - Please choose one

How does the acid test ratio differ from the current ratio?

► It is concerned with future cash flows rather than historical cash flows

► It does not differ from the current ratio

► It excludes the value of stocks

► It excludes the trade debtors

Question No: 39 ( Marks: 1 ) - Please choose one

Which of the following is NOT normally required for revenue to be recognized according to the revenue principle for accrual basis accounting?

► The price is fixed or determinable

► Services have been performed

Cash that has already been collected

Evidence of an arrangement for customer payment exists

Question No: 45 ( Marks: 1 ) - Please choose one

All of the following users are very much concerned with the ratio analysis EXCEPT?

Credit analyst, including banks who want to know the credibility of company

► Bond rating companies, who analyze ratios to help ascertain a company’s ability to pay its debts

Customers, who want to know the designs and quality of the products offered

► Managers, to analyze, control, and thus improve their working operations

Question No: 48 ( Marks: 1 ) - Please choose one

Which of the following is LEAST likely to be presented in Notes to financial statements of a firm?

► Significant pending lawsuits

► Methods of Cost flow assumptions

► A firm’s capital resource needs and liquidity

Sales by region or business segment

Question No: 49 ( Marks: 3 )

What do you understand by the efficiency of the operating cycle?

It is determined by activity ratios, keeping in view the conversion process, which is as follows:-

Operating Cycle = Inventory sale days (average) + Receivable Collection days (average).

Shorter operating cycle higher the quality of current assets and the greater the efficiency of management.

Question No: 50 ( Marks: 3 )

What will be the effect on the book value per share of the common stock of a company,

if the corporation obtains a loan?

When a corporation obtains a bank loan there is no effect upon book value per share of common stock. Assets and liabilities both increase by its amount. Therefore, net assets will remain unchanged.

1. 1.      Question # 1 of 10 ( Start time: 08:23:14 PM )         Total Marks: 1
If Y=bX, then variance of Y is
Select correct option:
b*2 var(x)
var(x)
b var(x)
b square root var(x)
2. 2.      Question # 2 of 10 ( Start time: 08:24:38 PM )         Total Marks: 1
If f(x) is a continuous probability function, then P(X = 2) is:
Select correct option:
1
0
1/2
2
3. 3.      Question # 3 of 10 ( Start time: 08:25:52 PM )         Total Marks: 1
In regression line Y=a+bX, Y is called:
Select correct option:
Dependent variable
Independent variable
Explanatory variable
Regressor
4. 4.      Question # 4 of 10 ( Start time: 08:26:51 PM )         Total Marks: 1
If A and B are mutually exclusive events with P (A) =0.25 and P (B) = 0.50, Then P (A or B) =………
Select correct option:
0.25
0.75
0.50
1

Question # 5 of 10 ( Start time: 08:28:06 PM )         Total Marks: 1
Symbolically, a conditional probability is:
Select correct option:
P(AB)
P(A/B)
P(A)
P(AUB) www.vustudents.ning.com

1. 5.      Question # 6 of 10 ( Start time: 08:28:42 PM )         Total Marks: 1
In a 52 well shuffled pack of 52 playing cards, the probability of drawing any one diamond card is
Select correct option:
1/52
4/52
13/52
52/52
2. 6.      Question # 7 of 10 ( Start time: 08:30:13 PM )         Total Marks: 1
Probability of a sure event is
Select correct option:
8
1
0
0.5
3. 7.      Question # 8 of 10 ( Start time: 08:31:42 PM )         Total Marks: 1
If Y=3X+5,then S.D of Y is equal to
Select correct option:
9 s.d(x)
3 s.d(x)
s.d(x)+5
3s.d(x)+5
4. 8.      Question # 9 of 10 ( Start time: 08:33:16 PM )         Total Marks: 1
The probability of drawing a red queen card from well-shuffled pack of 52 playing cards is
Select correct option:
4/52
2/52
13/52
26/52
5. 9.      Question # 10 of 10 ( Start time: 08:34:40 PM )         Total Marks: 1
If P (B|A) = 0.25 and P (A and B) =0.20, then P (A) is
Select correct option:
0.05
0.80
0.95
0.75
6. 10.  Question # 1 of 10 ( Start time: 08:57:45 PM )         Total Marks: 1
When a coin is tossed 3 times, the probability of getting 3 tails is
Select correct option:
1/8
3/8
3/6
2/8
7. 11.  Question # 2 of 10 ( Start time: 08:59:14 PM )         Total Marks: 1
In how many ways can a team of 11 players be chosen from a total of 16 players?
Select correct option:
4368(not confirmed)
2426
5400
2680
8. 12.  Question # 3 of 10 ( Start time: 09:00:38 PM )         Total Marks: 1
The standard deviation of c (constant) is
Select correct option:
c
c square
0
does not exist
9. 13.  Question # 4 of 10 ( Start time: 09:01:46 PM )         Total Marks: 1
If P (E) is the probability that an event will occur, which of the following must be false:
Select correct option:
P(E)= - 1
P(E)=1
P(E)=1/2
P(E)=1/3
10. 14.  Question # 5 of 10 ( Start time: 09:02:48 PM )         Total Marks: 1
Let E and F be events associated with the same experiment. Suppose the E and F are independent and that P(E) = 1/4 and P(F) = 1/2 Then P(E U F) is:
Select correct option:
1/8
3/4
7/8
5/8
11. 15.  Question # 6 of 10 ( Start time: 09:04:09 PM )         Total Marks: 1
A student solved 25 questions from first 50 questions of a book to be solved. The probability that he will solve the remaining all questions is:
Select correct option:
0.25
0.5
1
0

Question # 7 of 10 ( Start time: 09:05:31 PM )         Total Marks: 1
If Y=bX, then variance of Y is
Select correct option:
b*2 var(x)  www.vustudents.ning.com
var(x)
b var(x)
b square root var(x)

1. 16.  Question # 9 of 10 ( Start time: 09:07:48 PM )         Total Marks: 1
The classical definition of probability assumes:
Select correct option:
Exhaustive events
Mutually exclusive events
Equally likely evens
Independent evens
2. 17.  Question # 10 of 10 ( Start time: 09:08:50 PM )         Total Marks: 1
In scatter diagram, the variable plotted along Y-axis is:
Select correct option:
Independent variable
Dependent variable
Continuous variable
Discrete variable
3. 18.  Which of the following measures of dispersion are based on deviations from the mean?
Select correct option:
Variance
Standard deviation
Mean deviation

All of the these
4. 19.  What does it mean when a data set has a standard deviation equal to zero?  Select correct option:
All values of the data appear with the same frequency.
The mean of the data is also zero.
All of the data have the same value.
There are no data to begin with.
5. 20.  A set of possible values that a random variable can assume and their associated probabilities of occurrence are referred to as ________.
Select correct option:
Probability distribution
The expected return
The standard deviation
Coefficient of variation
6. 21.  Which of the following can never be probability of an event?
Select correct option:
0
1
0.5
-0.5
7. 22.  The standard deviation of -1, -1, -1, -1 will be
Select correct option:
1
-1
0
Does not exist
8. 23.  Which formula represents the probability of the complement of event A:
Select correct option:
1 + P (A)
1 - P (A)
P (A)
P (A) -1
9. 24.  The Special Rule of Addition is used to combine:
Select correct option:

Independent Events
Mutually Exclusive Events
Events that total more than 1.00
Events based on subjective probabilities
10. 25.  set which is the sub-set of every set is
Select correct option:
Empty Set
Power Set
Universal Set
Super Set
11. 26.  E(4X + 5) =________
Select correct option:
12 E (X)
4 E (X) + 5
16 E (X) + 5
16 E (X)
12. 27.  When two dice are rolled the number of possible sample points is :
Select correct option:
6
12
24
36
13. 28.  Question # 1 of 10 ( Start time: 09:43:04 PM )  Total Marks: 1
If two events A and B are not mutually exclusive then
Select correct option:
P (A or B) = P (A) + P (B) – P (A and B)
P (A or B) = P (A) + P (B)
P (A or B) = P (A) x P (B)
P (A or B) = P (A) + P (B)
14. 29.  Question # 2 of 10 ( Start time: 09:43:59 PM )  Total Marks: 1
Evaluate (10-4)!
Select correct option:
1000
720
480
32
15. 30.  Question # 3 of 10 ( Start time: 09:45:01 PM )  Total Marks: 1
When E is an impossible event, then P(E) is:
Select correct option:
0
1
2
0.5

1. 31.  Question # 4 of 10 ( Start time: 09:46:20 PM )  Total Marks: 1
When we toss a coin , we get only:
Select correct option:
1 outcome
2 outcome
3 outcome
4 outcome
2. 32.  Question # 5 of 10 ( Start time: 09:47:15 PM )  Total Marks: 1
For exhaustive events, the P(AUBUC) is equal to:
Select correct option:
P(A)
P(S)
P(A) * P(B)* P(C)
P(B)
3. 33.  Question # 6 of 10 ( Start time: 09:48:21 PM )  Total Marks: 1
A student solved 25 questions from first 50 questions of a book to be solved. The probability that he will solve the remaining all questions is:
Select correct option:
0.25
0.5
1
0
4. 34.  A set of possible values that a random variable can assume and their associated probabilities of occurrence are referred to as ________.
Select correct option:
Probability distribution
The expected return
The standard deviation
Coefficient of variation
5. 35.  Question # 9 of 10 ( Start time: 09:50:35 PM )  Total Marks: 1
If we roll a die then probability of getting a ‘6’ will be
Select correct option:
2/6
1/6
4/6
1
6. 36.  Question # 10 of 10 ( Start time: 09:51:36 PM )  Total Marks: 1
If P(A) = 0.45, P(B) = 0.35, and P(A and B) = 0.25, then P(A | B) is:
Select correct option:
1.4
1.8
0.714
0.556
7. 37.  Question # 8 of 10 ( Start time: 09:49:53 PM )  Total Marks: 1
Which of the following is not a measure of central tendency?
Select correct option:
Percentile
Quartile
Standard deviation
Mode
8. 38.  Question # 1 of 10 ( Start time: 09:56:49 PM )  Total Marks: 1
Random experiment can be repeated any no. of times under the……… conditions.
Select correct option:
Different
Similar
Question # 2 of 10 ( Start time:
09:58:09 PM )  Total Marks: 1
What is the probability of sure event?
Select correct option:
0
1
0.5
2
Question # 3 of 10 ( Start time:
09:58:41 PM )  Total Marks: 1
The simultaneous occurrence of two events is called:
Select correct option:
Joint probability
Subjective probability
Prior probability
Conditional probability
9. 39.  Question # 4 of 10 ( Start time: 09:59:47 PM )  Total Marks: 1
In regression analysis, the variable that is being predicted is the
Select correct option:
Dependent variable
Independent variable
Intervening variable
None of these
The probability of continuous random variable x on any particular point is always zero..

Yes

No

1. 40.  P(an event) =no of favorable outcome/total no. of outcomes is the definition of

Subjective approach

Objective approach

1. 41.    If C is a constant ,then E(c)=

0

1

C

-c

1. 42.  Question # 6 of 10

When we toss a fair coin 4 times, the sample space consists of….points.

4

8

12

16

1. 43.  When a coin is tossed 3 times, the probability of getting 3 tails is

1/8

3/8

3/6

2/8

1. 44.  If we roll three fair dices then the total number of outcomes is:

6

36

216

1296

1. 45.  The probability of an event is always:

greater than 0

less than 1

between o and 1

greater than 1

1. 46.  For exhaustive events, the P(AUBUC) is equal to:

P(A)

P(S)

P * P(B)* P(C)

1. 47.  In a multiplication theorem P (A and B) equals:

P(A)

P (B) P(A)  + P (B)

P(A)  * P (B|A)

P(B\A)*P(B)

1. 48.  If a die is rolled, what is the probability of getting an even number greater than 2?

1/2

1/3

2/3

5/6

1. 49.  In a Discrete probability distribution, P (x > 23) is read as:

P (there are more than 23 successes)

P (there are less than 23 successes)

P (there are at least 23 successes)

P (there are at most 23 successes)

1. 50.  When E is an impossible event, then P(E) is:

0

1

2

0.5

1. 51.  A dormitory on campus houses 200 students. 120 are male, 50 are upper division students, and 40 are upper division male students.A student is selected at random. The probability of selecting a lower division student, given the student is a female, is:

Select correct option:

7/8

7/20

7/15

¼

1. 52.  A discrete probability function f(x) is always:

Zero

One

Negative

Non-negative

1. 53.  The function F(x) gives the probability of the event that X takes a value ......

Less than x

Greater or equal to x

Less or equal x

Equal to x

1. 54.  Which of the following is not a measure of central tendency?

Percentile

Quartile

Standard deviation

Mode

1. 55.  When we toss a coin, we  get only

1 outcome

2 outcome

3 outcome

4 outcome

1. 56.  In a simple regression line model ,it is assume that the intercept parameter is equal to zero,

The regression line will pass through the origin.

The regression line will pass through the point (0,10)

The regression line will pass through the point (0,-10)

The slope of the line will also be zero.

1. 57.  If p(AnB)=p(A/B).p(B),then A and B are

Independent

Dependant

Equally likely

Mutually exclusively

1. 58.  A fair coin is tossed three times, the probability that at least one head appears,

1/8

7/8

3/8

5/8

1. 59.  In probability distribution, the sum of probabilities is equals to

0

0.1

0.5

1

PAST FINAL TERM

SUBJECTIVE PAPERS OF STA301

STATISTICS & PROBABILITY

Prepared By: Ammar Ahmed

mc080400850@vu.edu.pk

www.vustudents.ning.com

01-15-2012 05:04 PM

1) WHAT I S MEANT BY PURPOSE OF RESEARCH? EXPLAIN 3

2) WHAT IS DIFFERENCE BETWEEN QUALITATIVE AND QUANTITATIVE RESEARCH?

3) HOW YOU EXPLAIN ETHNOGRAPHY AND ETHNO-METHODOLOGY?

QUESTION FOR 5 MARKS

1) WHAT IS DIFFERENT PART OF BIVARIATE TABLE?

2) WHAT DO YOU KNOW ABOUT NUMBER AND DURATION IN FOCUS GROUP STUDY?

3) DIFFERENCE BETWEEN DECEPTION AND CONFIDENTIALITY?

4) HOW ARTICLE IN LITREATURE HELP US REFINING OUR TOPIC?

2 Marks

1) If x2 =1.001 by fitting the binomial distribution with 2 degrees of freedom, find the critical value. use
a= 0.05.

2) If we draw a card from an ordinary deck of 52 cards. Can king and diamond be mutually exclusive

3) Suppose that we toss a fair coin three times. What is its sample space?

4) Why we take B2 =3 as the criteria for measuring the kurtosis of any distribution?

5) Define level of significance?

6) How we decide that the drawn sample is “Small sample” or a “large sample”?

3 Marks
www.vustudents.ning.com

7) If mean of a distribution is 0.925 and standard deviation is 0.132. Find out the limits by applying
chebychev’s inequality for k=2. How much fraction of data will lie between the twolimits?

8) If E(XY)=7.5, E(X)=2.4 and E(Y)=4.3, calculate covariance of X and Y.

9) Hypothesis se question tha

10)Z-test ka formula complete kerna tha ek(dun have math type to write)

11)Write down the two properties of sampling distribution of proportion p’, when the sampling is
performed with replacement?

12)What is natural pairing in observations?Give example.

5 Marks

13)Interpret the concept of five numbers summary and also explain the purpose of five number
summary.

14)What is the probability that a poker hand of 5 cards contain exactly 1 ace(hypergeaometric dist.)?

15)If n=11, x’(X bar)=36.33, var=55.5, a=0.10

Test the hypothesis u>31.

16)From the table given below find the value of chi square

Obvervation Frequency Oij

Expected Frequency Eij

120 100

30 150

80 100

170 150
www.vustudents.ning.com

the mean of a population is 6 a sample of size '20' is taken with replacement from this population.which one of the following is the mean of sampling distribution of mean.

1) 2 2) 8 3) 6 4) 3

Q no 2
Write down the significance of experimental design? marks :2

Q No: 03
Explain the formula of hyper geometric probability distribution. marks :2

Q no : 03
Indicate whether the following statement is true or false. IF false indicate why?
if P(A/B)=0, then A and b are mutually exclusive. marks : 2

Q no 5
Suppose that we toss a fair coin three times. what is the sample space? marks :2
Compute the following formula which is used to find the sample size.

Q no: 06
For a sample data , calculate . Marks :02

Q no:07
State Byes’ theorem. Marks : 03

Question no : 08

If x is a passion random variable with parameter value ‘4.5’, find p(x=1)?
Marks: 03

Q no: 09
When the value of chi-square is equal to zero? Marks : 03

Q no: 10
If x= 255, n=634, Po=6.60 then find the z-test statistics for probability. Marks : 03

Q no 11
Find out average % increase in population in the first decade has increased 20 %, next decade 25%, and in the third decade 4%. Marks : 05

Q no: 12

If n=5, p(x=1)=5/32 and p(x=2)=10/32. then find the value of p & q. marks: 05[/align]

16 mcqs where in paper.
Mostly mcqs where from the topics of:
statistics definition,
events,
univariate frequency table,
random variables.
Geometric mean (2 or 3 mcqs)

questions of 2 marks:
Two equations of straight line for X and Y.
Calculate b1 while the values of m1, m2, m3 and m4 where given.
questions of 3 marks:

definition of mutually exclusive events with the example.
Calculation of variance while the values where given.

Question of 5 marks:
Through Chebechev’s equation inequality calculate then interval while the values of K, standard deviation and mean where given

www.vustudents.ning.com

STA 301

most mcqs was from
deivation and especially standard deviation.
positive and negative skewed curve chart.

Standard error of estimate.

coefficient of variance.

Least Square regression for normal line . 5m

distribution factor for discrete random variable. 5.m

Coefficient of Cov. 3m

b1 and b2 in moment ration, what are role in sample space. 3m

MOST OF MCQS CAME FROM PAST PAPER IF YOU PREPARE JUST ONE FILE PREPARED BY LAIBA BUTT SO ALMOST YOUR 70% MCQ COVER FROM THAT FIL

2nd

total questions...64
56 mcqs of 1 marks each
04 question of 5 marks

1. What do you know about pretest and potest experiments and control group design

2. What is interpretation with reference to data and what is its purpose..

4. How evaluates quality of evidence in historical comperative.

5. What is bracketing with regard to...

6. What is cluster probilityand its problem.

7. What is the probility of standard regression has can be overcome.

8. Compare the personal and self administered questioners on the aspect of anoynity of the respondent

only 25% mcqs from past pprz
baki pra nahi kahan kahan se thay

aur short Qs k lye
hypothesis
f- ditribution
t statistics
aur sb distributions ki properties

5 marks:
all questions were from test hypothesis

Total question = 64 MCQ = 56 SUBJECTIVE = 8

www.vustudents.ning.com

the mean of a population is 6 a sample of size '20' is taken with replacement from this population.which one of the following is the mean of sampling distribution of mean.

Dear ek question Anova table mn se b tha, baqi ye ap ko khidmt mn hazr h Pay regard Ayesha

5 marks:
all questions were from test hypothesi

MCQS=20 MARKS TOO MUCH EASY AND 4ROM OLD PAPERS
SUBJECTIVE QUESTIONS

1.WHAT S B!AS?(2)

3. MATHEMATICAL EXPECTON OF DISCRETE RANDOM VARIABLE?(3)

4.ANY TWO PROPERTIES OF MATHEMATICAL EXPECTATION?(2)

5.WHAT S STAT!C TEST?(2)

6. DECIDE A SMALL SAMPLE AND LARGE SAMPLE?(2)

7.4 QUESTIONS WERE NUMERIC 4ROM PROBABLTY AND BNOMAL DSTRBUTON?(2 OR 3 MARKS)

8. CALCULATE THE CLASS BOUNDARES,CLASS MARKS AND RELATVE FRQUENCEY?(5)

9.2 QUESTIONS K SMAGH NA AYE PATA NAH KASY KERNAY THAY (5)...............

10.TELL THE NULL AND ALTERNATIVE HYPOTHESIS OF 150?(2)

BEST OF LUCK AND PRAY 4 ME
PLZ PREPARE THIS FILE

www.vustudents.ning.com

1- Why distribution frequency of random variable X is also known as cumulative distribution frequency? (2)

2- What is Continuous random variable? (2)

3- What is difference between independent and dependent variable in the term of Regression. (3)

4- Question tha jis main k..2k n 3k values find karni , Complete question yaad nhi Bcoz I fail to attempt this (5)

5- Data given tha in which Find the Person’s Coefficient of Skewness with respect to Mean and Mode. (5)

6- aik question main Mean and Median find karma tha data given tha (3)

7- A question in which find the B1 & B2 and the µ1, µ2, µ3, µ4 values are given. (3)

deivation and especially standard deviation.

positive and negative skewed curve chart.

Standard error of estimate.

coefficient of variance.

Least Square regression for normal line . 5m

distribution factor for discrete random variable. 5.m

Coefficient of Cov. 3m

b1 and b2 in moment ration, what are role in sample space. 3m

statistics definition,

events,

univariate frequency table,

random variables.

Geometric mean (2 or 3 mcqs)

questions of 2 marks:

Two equations of straight line for X and Y.

Calculate b1 while the values of m1, m2, m3 and m4 where given.

questions of 3 marks:

definition of mutually exclusive events with the example.

Calculation of variance while the values where given.

Question of 5 marks:

Through Chebechev’s equation inequality calculate then interval while the values of K, standard deviation and mean where given.

## Friday, February 18, 2011

### STA301 Final Term Current Paper (Feb 2011)

describe the formula for hypergeometric distribution? 2 marks

what is graphical representation? 2 marks

data was given to find range and coefficient of range? 3 marks

what is the t formula for paired distribution? 3marks.

Find the value of n, values for population mean, sample mean, standrd deviation, and t wre given? 3 marks. (these all values have to put in t-static)

what is the probablity that atleast one head occurs if a coin tossed 6 times succesively? 5 marks

90% confidence interval was to find for variance of population? 5 marks
find first 2 moments for function with respect to mean? (same exmple on pg 187 of sta hndouts.) 5 marks
mcqs wre totally from lec 1 to 22.

16)From the table given below find the value of chi square

Obvervation Frequency Oij                              Expected Frequency Eij

120                                                                                                         100

130                                                                                                         150

80                                                                                                           100

170                                                                                                         150

1: define binominal distribution

2: define experiment designn

3: difference independent and dependent regreession

4: differewnce confidence interval and hypothesis testing

5: hypergeometric ki defination b

Sta301 current paper….2011

class frequency ………. 3 marks

hypothesis / null or Alternative hypothesis …..

lectr no 36 main......page no 276
sample size of point estimation ki jo example ha ...... jis main value of n calculate karne ha……..5 marks

one from normal distribution jis main percentage find out karni the…5 marks

and page no192 pe jo example hay wo thee…

mostly paper lectr 30 se 40 main se tha

Q no 5
Suppose that we toss a fair coin three times. what is the sample space? marks :2

Compute the following formula which is used to find the sample size.

Q no: 06

For a sample data , calculate . Marks :02