Test 3 VerA Solutions

# Test 3 VerA Solutions - STAT 230 Test #3 Oct 23, 2008 4:30...

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STAT 230 Test # 3O c t 2 3 , 2008 4 : 30 5 : 15 pm mark ____/ 25 A Name : Student I . D : UW computer userid : Circle your section and time slot : 1 . McLeish ( 12 : 30 ) 2 . McLeish ( 12 : 30 ) 3 . Freire ( 1 : 30 ) [ 4 ] 1 . A random variable X has a Poisson distribution with f x x e x ! ; x 0,1,2,. .. . Let g X 2 X .Find E g X  . E g X  x 0 g x f x x 0 2 x x e x ! e x 0 2 x x ! e e 2 e [ 10 ] 2 . A certain desperate political party needs 100 donors and hence runs a TV advertisement program. Assume that pledges of \$20 each come in by phone according a Poisson process, with intensity 2 pledges per minute during the period of the program. ( 3 ) a . Determine the probability that there are no pledges in a 3-minute period. Let X number of pledges in 3 minute period. Then X is Poisson(3 , with 2. P X 0 e 3 e 6 ( 3 ) b .

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## This note was uploaded on 10/21/2010 for the course STAT 230 taught by Professor Various during the Fall '06 term at Waterloo.

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Test 3 VerA Solutions - STAT 230 Test #3 Oct 23, 2008 4:30...

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