A certain market has both an express checkout line and a super-express checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. X2 3 0.08 0.08 0.04 0.00 1 0.07 0.11 0.05 0.06 2 0.05 0.04 0.10 0.06 3 0.00 0.03 0.04 0.07 4. 0.00 0.01 0.05 0.06 The difference between the number of customers in line at the express checkout and the number line at the superexpress checkout is X, - X,. Calculate the expected difference.

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A certain market has both an express checkout line and a super-express checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of
customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table.
X2
1
3
0.08
0.08
0.04
0.00
1
0.07
0.11
0.05
0.06
X1
0.05
0.04
0.10
0.06
3
0.00
0.03
0.04
0.07
4
0.00
0.01
0.05
0.06
The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout is X, – X,. Calculate the expected difference.
Transcribed Image Text:A certain market has both an express checkout line and a super-express checkout line. Let X, denote the number of customers in line at the express checkout at a particular time of day, and let X, denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X, and X, is as given in the accompanying table. X2 1 3 0.08 0.08 0.04 0.00 1 0.07 0.11 0.05 0.06 X1 0.05 0.04 0.10 0.06 3 0.00 0.03 0.04 0.07 4 0.00 0.01 0.05 0.06 The difference between the number of customers in line at the express checkout and the number in line at the superexpress checkout is X, – X,. Calculate the expected difference.
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