worksheet8 - Stat 400 In Class Worksheet 8 T.A Emily King...

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Stat 400 In Class Worksheet 8 T.A. Emily King April 2, 2008 1. (Modified from book p.194 # 3) A certain market has both an express checkout line and a superexpress checkout line. Let X 1 denote the number of customers in line at the express checkout at a particular time of day, and let X 2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X 1 and X 2 is given in the accompanying table: ( x 1 , x 2 ) 0 1 2 3 0 . 08 . 07 . 04 . 00 1 . 06 . 15 . 05 . 04 2 . 05 . 04 . 10 . 06 3 . 00 . 03 . 04 . 07 4 . 00 . 01 . 05 . 06 (a) What is P ( X 1 = 1 , X 2 = 1), that is, the probability that there is exactly one customer in each line? (b) What is P ( X 1 = X 2 ), that is, the probability that the numbers of custmoers in the two lines are identical? (c) Let A denote the event that there are at least two more customers
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