Stat 231 Exam 1 Key F11

Stat 231 Exam 1 Key F11 - Stat 231 Exam 1 Fall 2011 I have...

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1 Stat 231 Exam 1 Fall 2011 I have neither given nor received unauthorized assistance on this exam. ________________________________________________________ Name Signed Date _________________________________________________________ Name Printed ATTENTION! Incorrect numerical answers unaccompanied by supporting reasoning will receive NO partial credit. Correct numerical answers to difficult questions unaccompanied by supporting reasoning may not receive full credit. SHOW YOUR WORK/EXPLAIN YOURSELF! Completely absurd answers (that fail basic sanity checks but that you don't identify as clearly incorrect) may receive negative credit.
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2 1. Random variables and XY have jointly continuous distribution with joint density 1 if 0 1 and 1 , 0 otherwise yy x y fxy The region where the density is positive is indicated below. a) Find the marginal pdf of the random variable X , gx . (Be sure to sure to state carefully for what values of x any formulas you write hold.) b) Find 1 PX Y . c) Set up completely (but you need NOT evaluate) a double integral giving E XY . 7 pts 7 pts 6 pts
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3 2. In a production facility, there is occasional need for overtime labor on Saturdays. On a given Saturday, the number of workers needed is N and the number available is A .
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This note was uploaded on 02/11/2012 for the course STAT 231 taught by Professor Staff during the Fall '08 term at Iowa State.

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Stat 231 Exam 1 Key F11 - Stat 231 Exam 1 Fall 2011 I have...

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