A post office is considering whether to assign one or two postal clerks on-duty to keep open on Sunday, from 9 a.m. to 3 p.m. Customers arrive at a rate of 8 per hour following a Poisson distribution and the service times for a customer is 4 minutes, exponentially distributed. The post office has a single queue for customers waiting for an idle postal clerk for service. Suppose the hourly rate of a postal clerk is $16.25, and it is estimated that a cost of $0.65 for each minute a customer spends waiting for service. ( a ) For the 1-clerk scenario, compute the probability that there are more than four customers in the post office. (b ) For the 2-clerk scenario, compute the probability that no customer is in the post office. (c ) By computing the total relevant cost per day for the two scenarios respectively, should the post office schedule 1 or 2 postal clerks on-duty on Sunday?

A post office is considering whether to assign one or two postal clerks on-duty to keep open on Sunday, from 9 a.m. to 3 p.m. Customers arrive at a rate of 8 per hour following a Poisson distribution and the service times for a customer is 4 minutes, exponentially distributed. The post office has a single queue for customers waiting for an idle postal clerk for service. Suppose the hourly rate of a postal clerk is $16.25, and it is estimated that a cost of $0.65 for each minute a customer spends waiting for service. ( a ) For the 1-clerk scenario, compute the probability that there are more than four customers in the post office. (b ) For the 2-clerk scenario, compute the probability that no customer is in the post office. (c ) By computing the total relevant cost per day for the two scenarios respectively, should the post office schedule 1 or 2 postal clerks on-duty on Sunday?

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Description: Picture A post office is considering whether to assign one or two postal clerks on-duty to keepopen on Sunday, from 9 a.m. to 3 p.m. Customers arrive at a rate of 8 per hour followinga Poisson distribution and the service times for a customer is 4 mi

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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