sta301 assignment 2 solution

  Assignment No.2 (Course STA301)

Spring 2015 (Total Marks 15)

Deadline

Your Assignment must be uploaded/ submitted before or on

31^st July 2015, 23:59, 2015

STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).

 

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:

This assignment will strengthen the basic idea about the concept of the following distributions:

·        Binomial distribution

·        Hypergeometric distribution

·        Poisson distribution

·        Normal distribution

Assignment No: 2 (Lessons 28 – 30)

Question 1:                                                                                                       Marks: 3+4=7

a)      A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.

b)      If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.

Question 2:                                                                                                          Marks: 3+5=8 

a)       Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw? 

b)       The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches? 

Solution......... comment below

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