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Math · Advanced Math
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Homework - Decision Analysis 1. Joe and Andy are the two barbers in a barber shop they own and operate. They provide two chairs for customers who are waiting to begin a haircut, so the number of customers in the shop varies between 0 and 4. For n 0, 1, 2, 3, 4, the probability Pn that exactly n customers are in the shop is Po-P1 a. Use the formula L 0Po 1P 2P2 3P3 4P, to calculate L How would you describe the b. 16 16 16 meaning of L to Joe and Andy? For each of the possible values of the number of customers in the queueing system, specify how many customers are in the queue. For each of the possible numbers in the queue, multiply by its probability, and then add these products to calculate L to Joe and Andy? Given that an average of four customers per hour arrive and stay to receive a haircut, determine W and Wa. Describe these two quantities in terms meaningful to Joe and Andy Given that Joe and Andy are equally fast in giving haircuts, what is the average duration of haircut? c. d.

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