STA301 Assignment No. 3 Solution
Tuesday, January 11, 2011 Posted In STA Edit ThisAssignment No.3 (Course STA301)
Fall 2010 (Total Marks 30)
Deadline
Your Assignment must be uploaded/ submitted before or on
23:59, 13th Jan, 2010
(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:
- The assignment is being uploaded to strengthen the students’ basic concepts about probability distributions.
- The assignment is uploaded to depict the use of discrete and continuous probability functions/distributions.
Assignment No. 3
Question 1 2+2+6=10Marks
a) Define Bernoulli trail and Binomial Experiment.
b) In which condition, Poisson distribution is used to approximate hypergeometric distribution?
c) Find the probability that (i) No defective bolt (ii) at most 5 defective bolts will be found in a box of 200 bolts if it is known that 2 percent of such bolts are expected to be defective.
Question 2 3+5+2=10Marks
a) If its rain, an umbrella salesman can earn $ 30 per day. If it is fair, he can lose $ 6 per day. What is his expectation if the probability of rain is 0.3?
b) Show that the following is a density function.
f(x) = 
0 < x < 2
0 < x < 2 = 0 elsewhere
c)
Question 3 2+2+6=10Marks
a) From the following table find P(X + Y < 1);
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b) Write this expression h (3; 70, 20, 5) in probability notations/function.
c) An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 800 hours and a standard deviation of 40 hours. Find the probability that
(i) A bulb will burn between 778 and 834 hours.
(ii) A bulb will burn in less than 778 hours.
