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Assignment No. 5 (Course STA301)

Spring 2010 (Total Marks 30)



Your Assignment must be uploaded/ submitted before or on

23:59,15th July


Rules for Marking

It should be clear that your Assignment will not get any credit IF:

  • The Assignment submitted, via email, after due date.
  • The submitted Assignment is not found as MS Word document file.
  • There will be unnecessary, extra or irrelevant material.
  • The Statistical notations/symbols are not well-written i.e., without using MathType software.
  • The Assignment will be copied from handouts, internet or from any other student’s file. Copied material (from handouts, any book or by any website) will be awarded ZERO MARKS. It is PLAGIARISM and an Academic Crime.
  • The medium of the course is English. Assignment in Urdu or Roman languages will not be accepted.
  • Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.



Objective(s) of this Assignment:


  • The assignment is being uploaded to strengthen the student’s computational practice on continuous distributions
  •  The assignment is being uploaded to build up the students’ concepts regarding sampling and its distribution



Assignment # 5 (Lessons 28-34)


Question 1:                                                                                                                     Marks: 2+3+5=10

a) When you consider poisson distribution as the limiting form of the binomial distribution?


b) The mean and standard deviation of the population is 30 and 5 respectively. The probability distribution of the parent population is unknown, find the mean and standard error of the sampling distribution of when n=50


b) Ten vegetables cans, all of the same size, have lost their labels. It is known that 5 contain tomatoes and 5 contain corns. If 5 are selected at random, what is the probability that all contain tomatoes? What is the probability that 3 or more contain tomatoes?



Question 2:                                                                                                                       Marks: 2+8=10

a) Define sampling with replacement and sampling without replacement.


b) A finite population consists of values 6, 6, 9, 15 and 18. Calculate the sample means for all possible random samples of size n=3, that can be drawn from this population without replacement. Make the sampling distribution of sample mean and find the mean and variance of this distribution.

Question 3:                                                                                                                  Marks: 2+2+6=10

a) Find the value of maximum ordinate of the standard normal curve correct to four decimal places.


b) If Z is a standard normal random variable with mean 0 and variance 1, then find the Lower quartile.


c) Let be a random sample of size 3 from a population with mean   

Consider the following two estimators of the mean

Which estimator should be preferred?


 Please Discuss Here about this assignmnet. Thanks

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Replies to This Discussion

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