4. CWD Business systems maintains a successful Telecom sales department for Top up callcredit in which a clerk takes orders by telephone. If the clerk is occupied on one line,incoming phone calls to the department are answered automatically by an answeringmachine and asked to wait. As soon as the clerk is free, the party that has waited thelongest is transferred and answered first. Calls come in at a rate of about 15 per hour. Theclerk is capable of taking an order in an average of 3 minutes. Calls tend to follow aPoisson distribution, and service times tend to be exponential. The clerk is paid $15 perhour, but because of lost goodwill and sales, CWD loses about $30 per hour of customertime spent waiting for the clerk to take an order.Part AAnswer the following questions:d. What is the average time a customer waits for service(Wg)?e. What is the average time in the system (W) ?f. What is the probability that a customer will have to wait for service (Pw)?

Given information: It is given that the phone calls come in a rate of about 15 per hour. The clerk…

Answered: CWD Business systems maintains a…

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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