Suppose that the average number of calls coming into a local store with many telephone lines is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming calls as a Poisson process, a) What assumptions must we make? b) If these assumptions hold, how many calls can we expect in a day? c) What is the probability of having three calls by noon? d) What is the probability of having the first call after 10:30 am?
Suppose that the average number of calls coming into a local store with many telephone lines is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming calls as a Poisson process, a) What assumptions must we make? b) If these assumptions hold, how many calls can we expect in a day? c) What is the probability of having three calls by noon? d) What is the probability of having the first call after 10:30 am?
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
Suppose that the average number of calls coming into a local store with many telephone lines
is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming
calls as a Poisson process,
a) What assumptions must we make?
b) If these assumptions hold, how many calls can we expect in a day?
c) What is the probability of having three calls by noon?
d) What is the probability of having the first call after 10:30 am?
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the average number of calls coming into a local store with many telephone lines is 2 per hour during working hours (from 9am to 7pm). If we wish to model these incoming calls as a Poisson process.
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