problemset32

# problemset32 - STAT/MA 416 November 11, 2011 Problem Set 32...

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STAT/MA 416 November 11, 2011 Problem Set 32 Name: 1. Each of the 30 students in a class each orders a package. They assume that the waiting time (measured in weeks) for the packages are independent exponential random variables, with average waiting time of 1 / 2 for each package. What is the approximate probability that the total waiting time exceeds 14 days? 1

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2. When the students in question #1 eventually receive their packages, sometimes they are happy with the items they ordered, and sometimes they are not. Suppose that a stu- dent is happy with her/his own package with probability 0 . 60, independent of the happi- ness/unhappiness of the other students. What is an estimate for the probability that 20 or more of the students are happy with their packages? 2
3. In planning for an event, the planner estimates that nobody will be on time, but nobody will be more than 10 minutes late. So he estimates that the time (in minutes) a given person will be late has density f X ( x ) = (10 - x

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## This note was uploaded on 02/28/2012 for the course STAT 416 taught by Professor Staff during the Fall '08 term at Purdue University.

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problemset32 - STAT/MA 416 November 11, 2011 Problem Set 32...

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