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# STA301 statistics and probability Online Quiz No. 03 Solution and Discussion Due Date: January 28, 2014 at 11:59PM

Dear Students,
You are informed that Quiz no.3 will be started according to the following schedule;

Opening Date and Time of Quiz January 27, 2014 at 12:01AM
Closing Date and Time  of Quiz January 28, 2014 at 11:59PM

Instructions:

Read the following instructions carefully before attempting the Quiz No.3.

•        Quiz will be based upon Multiple Choice Questions (MCQs) and it will cover Lesson nos. 21 to Lesson nos. 30.

•        You can start attempting the quiz any time within given date(s) and time of a particular subject by clicking the link for Quiz in LMS.

•         Each question has a fixed time of 90 seconds. So you have to save your answer before 90 seconds. But due to unstable internet speeds, it is recommended that you should save your answer within 60 seconds. While attempting a question, keep an eye on the remaining time.

•         Attempting quiz is unidirectional. Once you move forward to the next question, you can not go back to the previous one. Therefore before moving to the next question, make sure that you have selected the best option.

•         DO NOT press back button while attempting a question; otherwise you will lose a question.

•         DO NOT refresh the page unnecessarily.

•         DO NOT try to disable “JavaScript” in your browser; otherwise you will not be able to attempt the quiz.

•         If for any reason, you lose access to internet (like power failure or disconnection of internet); you will be able to attempt the quiz again from the position where you left in last attempt. But remember that you have to complete the quiz before expiry of the deadline

Solved Quiz No.3 enjoy.

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Please all students related this subject Share your online Quizzes here to help each other.thanks

Please share the question and their answers of this quiz if anyone has done.
Thanks.

Dear Students,
You are informed that Quiz no.3 will be started according to the following schedule;

Opening Date and Time of Quiz January 27, 2014 at 12:01AM
Closing Date and Time  of Quiz January 28, 2014 at 11:59PM

Instructions:

Read the following instructions carefully before attempting the Quiz No.3.

•        Quiz will be based upon Multiple Choice Questions (MCQs) and it will cover Lesson nos. 21 to Lesson nos. 30.

•        You can start attempting the quiz any time within given date(s) and time of a particular subject by clicking the link for Quiz in LMS.

•         Each question has a fixed time of 90 seconds. So you have to save your answer before 90 seconds. But due to unstable internet speeds, it is recommended that you should save your answer within 60 seconds. While attempting a question, keep an eye on the remaining time.

•         Attempting quiz is unidirectional. Once you move forward to the next question, you can not go back to the previous one. Therefore before moving to the next question, make sure that you have selected the best option.

•         DO NOT press back button while attempting a question; otherwise you will lose a question.

•         DO NOT refresh the page unnecessarily.

•         DO NOT try to disable “JavaScript” in your browser; otherwise you will not be able to attempt the quiz.

•         If for any reason, you lose access to internet (like power failure or disconnection of internet); you will be able to attempt the quiz again from the position where you left in last attempt. But remember that you have to complete the quiz before expiry of the deadline

STA 301 Quiz No.3 with 100% Correct Solution

Dated 27-1-2014

1. In a discrete distribution function, F(10) can be stated as:
• P (there are at most 10 successes)
• P (there are at least 10 successes)
•  P (there are less than 10 successes) Me:
• P (there are more than 10 successes)
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....,m and j=1,2,3,4......n, then marginal probability function of X is defined as:
• g(xi) = Sigma f(xi,yj)
i
• g(xi) = Sigma f(xi,yj)
j
• g(xi) = Sigma Sigma f(xi,yj)
j i
• None of these
1. The second moment-ratio of a particular continuous probability distribution found to be is 3.845. What does this value tell us about the distribution
• Normal distribution
• Higher peak than the normal distribution
• Flatter than normal distribution
• Neither very peaked nor flatter
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....m and j=1,2,3,4....n, then marginal probability function of Y is defined as:
• h(y) = Sigma f(xi,yj)
i
• h(y) = Sigma f(xi,yj)
j
• h(y) = Sigma Sigma f(xi,yj)
i j
• None of these
1. Which of the following is not true about the standard normal distribution?
• The mean of any standard normal distribution is always 0.
• The standard deviation of any standard normal distribution is always 1.
• The standard normal distribution always looks normal.
• The standard normal distribution always keeps the raw score distribution's shape.
1. 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?
• 7
• 8
• 6
• 5
1. Let X and Y are two random variables. Which property of expectation is true?
• E(X – Y) = E(X) – E(Y)
• E(X – Y) = E(X) – E(Y) + E(XY)
• E(X – Y) = E(X) + E(Y) – E(XY)
• E(X – Y) = E(X) + E(Y) – 2 E(XY)
1. Let X and Y are TWO random variables. Which property of expectation is true?
• E(X + Y) = 2 * {E(X) + E(Y)}
• E(X + Y) = E(X) + E(Y) – E(XY)
• E(X + Y) = 2 E(X + Y)
• E(X + Y) = E(X) + E(Y)
1. A discrete probability function f(x) is always:
• Zero
• One
• Negative
• Non negative
1. Which statement is true for a discrete Uniform distribution?
• It is absolutely symmetrical distribution
• Sometimes it becomes symmetrical.
• Its graphical shape of the data is like “U”.
• Cannot say anything without observing the actual data.

What are the number of parameters of Hyper geometric distribution ?
Select correct option:
2
5
4
3

Let X and Y are TWO random variables. Which property of expectation is true?
Select correct option:
E(X + Y) = 2 * {E(X) + E(Y)}
E(X + Y) = E(X) + E(Y) – E(XY)
E(X + Y) = 2 E(X + Y)
E(X + Y) = E(X) + E(Y)

When X and Y are ____________ variables, then their joint probability function can be obtained by multiplying together their marginal probability functions.
Select correct option:
Independent
Dependent
Bivariate
Normal

E(10X +3) =_________
Select correct option:
10 E(X)
E(X)+3
10 E(X)+3
100E(X)

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is:
Select correct option:
Binomial with n = 5 and p = 0.6
Binomial with n = 5 and p = 0.4
Binomial with n = 5 and p = 0.5
Poisson with u = .6

If µ3 = 3 and µ2 = 2 then the skewness of the distribution will be:
Select correct option:
2.5
1.125
0.87
1.5

If a coin is tossed three times, the likelihood of obtaining three heads in a row is:
Select correct option:
0.125
0.875
0.500
0.000

When a coin is tossed 3 times, the probability of getting 3 or less tails is
Select correct option:
1/2
0
1
3/5

What will be the value of C.V if S.D = 0.5 and mean = 1.
Select correct option:
10%
30%
45%
50%

Today STA 301 Quiz No.3 with 100% Correct Solution

1. In a discrete distribution function, F(10) can be stated as:
• P (there are at most 10 successes)         = Answer
• P (there are at least 10 successes)
•  P (there are less than 10 successes) Me:
• P (there are more than 10 successes)
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....,m and j=1,2,3,4......n, then marginal probability function of X is defined as:
• g(xi) = Sigma f(xi,yj)
i
• g(xi) = Sigma f(xi,yj)     = Answer
j
• g(xi) = Sigma Sigma f(xi,yj)
j i
• None of these
1. The second moment-ratio of a particular continuous probability distribution found to be is 3.845. What does this value tell us about the distribution
• Normal distribution
• Higher peak than the normal distribution     = Answer
• Flatter than normal distribution
• Neither very peaked nor flatter
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....m and j=1,2,3,4....n, then marginal probability function of Y is defined as:
• h(y) = Sigma f(xi,yj)     = Answer
i
• h(y) = Sigma f(xi,yj)
j
• h(y) = Sigma Sigma f(xi,yj)
i j
• None of these
1. Which of the following is not true about the standard normal distribution?
• The mean of any standard normal distribution is always 0.
• The standard deviation of any standard normal distribution is always 1.
• The standard normal distribution always looks normal.     = Answer
• The standard normal distribution always keeps the raw score distribution's shape.
1. 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?
• 7
• 6
• 5
1. Let X and Y are two random variables. Which property of expectation is true?
• E(X – Y) = E(X) – E(Y)
• E(X – Y) = E(X) – E(Y) + E(XY)     = Answer
• E(X – Y) = E(X) + E(Y) – E(XY)
• E(X – Y) = E(X) + E(Y) – 2 E(XY)
1. Let X and Y are TWO random variables. Which property of expectation is true?
• E(X + Y) = 2 * {E(X) + E(Y)}
• E(X + Y) = E(X) + E(Y) – E(XY)     = Answer
• E(X + Y) = 2 E(X + Y)
• E(X + Y) = E(X) + E(Y)
1. A discrete probability function f(x) is always:
• Zero
• One
• Negative
1. Which statement is true for a discrete Uniform distribution?
• It is absolutely symmetrical distribution
• Sometimes it becomes symmetrical.
• Its graphical shape of the data is like “U”.     = Answer
• Cannot say anything without observing the actual data.

My today quiz STA-301

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+•´¯`• MOMAL •´¯`•+ gud keep it up & thanks for sharing

If b(x, 15, 0.70), the variance of this distribution is Select correct option:
3.51

3.15

3.25

3.05

2. The second moment-ratio of a particular continuous probability distribution found to be is 3.845. What does this value tell us about the distribution? Select correct option:

Normal distribution

Higher peak than the normal distribution

Flatter than normal distribution

Neither very peaked nor flatter

From the following table; x 2 3 4 5 6 P(x) 1/6 2/6 1/6 1/6 1/6 The value of sum{x P(x)} will be: Select correct option:
3.83

2.14

3.65

6.25

In hyper geometric distribution the following condition is violated Select correct option:
Dependence of trials

Independence of trials

None of the above

Both a) and b)

If we flip a coin three times, then the possible outcomes of the sample space are: Select correct option:
HHH TTT THT HTH HHT TTH HTH

HHH HTT HTH TTT HTT THH HHT THT

HTT THT HTH HHH TTH TTT

HHH HHT HTH HTT THH THT TTH TTT

For a probability density function (pdf), the probability of a single point is Select correct option:
2

1

0

Constant

Which statement is true for a discrete Uniform distribution? Select correct option:
It is absolutely symmetrical distribution.

Sometimes it becomes symmetrical.

Its graphical shape of the data is like “U”.

Cannot say anything without observing the actual data.

When a coin is tossed 3 times, the probability of getting 3 or less tails is Select correct option:
1/2

0

1

3/5

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is: Select correct option:
Binomial with n = 5 and p = 0.6

Binomial with n = 5 and p = 0.4

Binomial with n = 5 and p = 0.5

Poisson with u = .6

Let X be a random variable with binomial distribution, that is (X=0,1,…, n). The expected value E[X] is
Select correct option:

p

np

np(1-p)

Xnp

Today STA 301 Quiz No.3 with 100% Correct Solution

1. In a discrete distribution function, F(10) can be stated as:
• P (there are at most 10 successes)         = Answer
• P (there are at least 10 successes)
•  P (there are less than 10 successes) Me:
• P (there are more than 10 successes)
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....,m and j=1,2,3,4......n, then marginal probability function of X is defined as:
• g(xi) = Sigma f(xi,yj)
i
• g(xi) = Sigma f(xi,yj)     = Answer
j
• g(xi) = Sigma Sigma f(xi,yj)
j i
• None of these
1. The second moment-ratio of a particular continuous probability distribution found to be is 3.845. What does this value tell us about the distribution
• Normal distribution
• Higher peak than the normal distribution     = Answer
• Flatter than normal distribution
• Neither very peaked nor flatter
1. Let f(xi,yj) be the joint probability function of two discrete r.v’s X and Y, where i=1,2,3,4,....m and j=1,2,3,4....n, then marginal probability function of Y is defined as:
• h(y) = Sigma f(xi,yj)     = Answer
i
• h(y) = Sigma f(xi,yj)
j
• h(y) = Sigma Sigma f(xi,yj)
i j
• None of these
1. Which of the following is not true about the standard normal distribution?
• The mean of any standard normal distribution is always 0.
• The standard deviation of any standard normal distribution is always 1.
• The standard normal distribution always looks normal.     = Answer
• The standard normal distribution always keeps the raw score distribution's shape.
1. 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?
• 7
• 6
• 5
1. Let X and Y are two random variables. Which property of expectation is true?
• E(X – Y) = E(X) – E(Y)
• E(X – Y) = E(X) – E(Y) + E(XY)     = Answer
• E(X – Y) = E(X) + E(Y) – E(XY)
• E(X – Y) = E(X) + E(Y) – 2 E(XY)
1. Let X and Y are TWO random variables. Which property of expectation is true?
• E(X + Y) = 2 * {E(X) + E(Y)}
• E(X + Y) = E(X) + E(Y) – E(XY)     = Answer
• E(X + Y) = 2 E(X + Y)
• E(X + Y) = E(X) + E(Y)
1. A discrete probability function f(x) is always:
• Zero
• One
• Negative
1. Which statement is true for a discrete Uniform distribution?
• It is absolutely symmetrical distribution
• Sometimes it becomes symmetrical.
• Its graphical shape of the data is like “U”.     = Answer
• Cannot say anything without observing the actual data.

What are the number of parameters of Hyper geometric distribution ?
Select correct option:
2
5
4
3

Let X and Y are TWO random variables. Which property of expectation is true?
Select correct option:
E(X + Y) = 2 * {E(X) + E(Y)}
E(X + Y) = E(X) + E(Y) – E(XY)
E(X + Y) = 2 E(X + Y)
E(X + Y) = E(X) + E(Y)

When X and Y are ____________ variables, then their joint probability function can be obtained by multiplying together their marginal probability functions.
Select correct option:
Independent
Dependent
Bivariate
Normal

E(10X +3) =_________
Select correct option:
10 E(X)
E(X)+3
10 E(X)+3
100E(X)

Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number of non-diseased cattle in a sample of size 5. the distribution of Y is:
Select correct option:
Binomial with n = 5 and p = 0.6
Binomial with n = 5 and p = 0.4
Binomial with n = 5 and p = 0.5
Poisson with u = .6

If µ3 = 3 and µ2 = 2 then the skewness of the distribution will be:
Select correct option:
2.5
1.125
0.87
1.5

If a coin is tossed three times, the likelihood of obtaining three heads in a row is:
Select correct option:
0.125
0.875
0.500
0.000

When a coin is tossed 3 times, the probability of getting 3 or less tails is
Select correct option:
1/2
0
1
3/5

What will be the value of C.V if S.D = 0.5 and mean = 1.
Select correct option:
10%
30%
45%
50%

Question # 1 of 10 ( Start time: 10:08:23 PM )     Total Marks: 1
If X 3 4 5 6 7 f(x) 0.05 0.10 0.20 0.30 0.25 sum{x P(x)} will be:
Select correct option:
5.925
4.830
6.521
5.825

Question # 2 of 10 ( Start time: 10:09:47 PM )     Total Marks: 1
The mean of the continuous probability function f(x) can be obtained by
Select correct option:
Integrating the x
Integrating the function f(x)
Integrating the product xf(x)
Multiplying the x by its function f(x)

Question # 3 of 10 ( Start time: 10:10:52 PM )     Total Marks: 1
Which of the following statements is an example of a continuous random variable?
Select correct option:
The depth of Lake Michigan at a randomly chosen point on the surface
The number of gas stations in Detroit
The number of credit hours you have this semester
All of the above

Question # 4 of 10 ( Start time: 10:12:16 PM )     Total Marks: 1
When the random variables X and Y are independent, then its co-variance must be:
Select correct option:
One
Zero
Positive
Negative

Question # 5 of 10 ( Start time: 10:12:49 PM )     Total Marks: 1
If x is a continuous random variable, then the area under the cumulative distribution curve between any two points is always:
Select correct option:
greater than 1
less than zero
equal to 1
in the range 0 and 1

Question # 6 of 10 ( Start time: 10:13:33 PM )     Total Marks: 1
When a coin is tossed 3 times, the probability of getting 3 or less tails is
Select correct option:
1/2
0
1
3/5

Question # 7 of 10 ( Start time: 10:15:05 PM )     Total Marks: 1
A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?
Select correct option:
2/3
1/3
12
7/9

Question # 8 of 10 ( Start time: 10:16:22 PM )     Total Marks: 1
If µ = 4.925 and S.D = 1.2, then C.V(X) will be:
Select correct option:
20.4%
24.36%
11.4%
15.3%

Question # 9 of 10 ( Start time: 10:17:19 PM )     Total Marks: 1
The probability mass function p(x) of a discrete random variable X is: P(0)=0.10, P(1)=0.15, P(2)=0.45, P(3)=0.05, and P(4)=0.25. WHat is the value of cumulative distribution function F(x) at X = 3?
Select correct option:
0.75
0.45
0.35
0.65

Question # 10 of 10 ( Start time: 10:18:41 PM )     Total Marks: 1
Poisson distribution is never:
Select correct option:
Symmetrical
Positively Skewed
Negatively skewed
Asymmetrical

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