A certain market has both an express checkout line and a super-express checkout

Question

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 Xz denote the number of customers In line at the superexpress checkout at the same time. Suppose the foint pmf of Xi and X2 ls as glven in the accompanying table X2 0.08 0.08 0.05 0.00 0.00 0.08 0.13 0.04 0.03 0.01 0.04 0.05 0.10 0.04 0.05 0.00 0.03 0.06 0.07 0.06 X1 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 Need Help?Read It Talk to a Tutor

Explanation / Answer

solution:-

+(0.08*(0-0)) +(0.08*(0-1)) +(0.04*(0-2)) +(0.00*(0-3)) +(0.08*(1-0)) +(0.13*(1-1)) +(0.05*(1-2)) +(0.03*(1-3)) +(0.05*(2-0)) +(0.04*(2-1)) +(0.10*(2-2)) +(0.06*(2-3)) +(0.00*(3-0)) +(0.03*(3-1)) +(0.04*(3-2)) +(0.07*(3-3)) +(0.00*(4-0)) +(0.01*(4-1)) +(0.05*(4-2)) +(0.06*(4-3)) = 0.18

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