The number of telephone calls arriving at a switchboard during any 20-minute period is known to be a Poisson random variable. From measurements, the expectation of the Poisson random variable is found to be equal

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The number of telephone calls arriving at a switchboard during any 20-minute period is known
to be a Poisson random variable. From measurements, the expectation of the Poisson random
variable is found to be equal to 4.
Find the probability that more than four calls will arrive during any 20-minute period.
Find the probability that no calls will arrive during any 20-minute period.

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