14. The number of cars washed in a certain car wash station is a Poisson random variable with a mean of 6 cars per hour. (a) What is the probability that next car arriving to this station will wait less than 45 minutes? (b) What is the probability that at least 1 cars will be washed in 30 minutes period?

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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14. The number of cars washed in a certain car wash station is a Poisson random variable with
a mean of 6 cars per hour.
(a) What is the probability that next car arriving to this station will wait less than 45
minutes?
(b) What is the probability that at least 1 cars will be washed in 30 minutes period?
Transcribed Image Text:14. The number of cars washed in a certain car wash station is a Poisson random variable with a mean of 6 cars per hour. (a) What is the probability that next car arriving to this station will wait less than 45 minutes? (b) What is the probability that at least 1 cars will be washed in 30 minutes period?
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