f. What is the probability that a customer will have to wait for service (Pw)?g What is the probability that there is exactly 2 customers in the system?h) What is the probability that there are more than 3 customers in the system? CWD Business systems maintains a successful Telecom sales department for Top up call creditin which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phonecalls to the department are answered automatically by an answering machine and asked to wait.As soon as the clerk is free, the party that has waited the longest is transferred and answered first.Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an averageof 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential.The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 perhour of customer time spent waiting for the clerk to take an order.

Given Information: The calls that come in at a rate = 15 Per hour The clerk who is capable of taking…

f. What is the probability that a customer will have to wait for service (Pw)? g What is the probability that there is exactly 2 customers in the system? h) What is the probability that there are more than 3 customers in the system?

f. What is the probability that a customer will have to wait for service (Pw)? g What is the probability that there is exactly 2 customers in the system? h) What is the probability that there are more than 3 customers in the system?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

f. What is the probability that a customer will have to wait for service (Pw)?
g What is the probability that there is exactly 2 customers in the system?
h) What is the probability that there are more than 3 customers in the system?

CWD Business systems maintains a successful Telecom sales department for Top up call credit
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 answering machine and asked to wait.
As soon as the clerk is free, the party that has waited the longest is transferred and answered first.
Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average
of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential.
The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per
hour of customer time spent waiting for the clerk to take an order.

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