5.43 A toll-free phone number is available from 9 a.m. to 9. p.m. for your customers to register complaints about a product purchased from your company. Past history indi- cates that an average of 0.4 calls are received per minute. a. What properties must be true about the situation described here in order to use the Poisson distribution to calculate probabilities concerning the number of phone calls received in a 1-minute period? Assuming that this situation matches the properties dis- cussed in (a), what is the probability that during a 1-minute period b. zero phone calls will be received? c. three or more phone calls will be received?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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5.43
5.43 A toll-free phone number is available from 9 a.m. to
p.m. for
product purchased from your company. Past history indi-
cates that an average of 0.4 calls are received per minute.
a. What properties must be true about the situation
described here in order to use the Poisson distribution to
your customers to register complaints about a
calculate probabilities concerning the number of phone
calls received in a 1-minute period?
Assuming that this situation matches the properties dis-
cussed in (a), what is the probability that during a 1-minute
period
b. zero phone calls will be received?
c. three or more phone calls will be received?
d. What is the maximum number of phone calls that will
be received in a 1-minute period 99.99% of the time?
Transcribed Image Text:5.43 A toll-free phone number is available from 9 a.m. to p.m. for product purchased from your company. Past history indi- cates that an average of 0.4 calls are received per minute. a. What properties must be true about the situation described here in order to use the Poisson distribution to your customers to register complaints about a calculate probabilities concerning the number of phone calls received in a 1-minute period? Assuming that this situation matches the properties dis- cussed in (a), what is the probability that during a 1-minute period b. zero phone calls will be received? c. three or more phone calls will be received? d. What is the maximum number of phone calls that will be received in a 1-minute period 99.99% of the time?
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