4-145. + The time between arrivals of customers at an auto- matic teller machine is an exponential random variable with a mean of five minutes. (a) What is the probability that more than three customers arrive in 10 minutes? (b) What is the probability that the time until the fifth customer arrives is less than 15 minutes?

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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4-145. + The time between arrivals of customers at an auto-
matic teller machine is an exponential random variable with a
mean of five minutes.
(a) What is the probability that more than three customers
arrive in 10 minutes?
(b) What is the probability that the time until the fifth customer
arrives is less than 15 minutes?
Transcribed Image Text:4-145. + The time between arrivals of customers at an auto- matic teller machine is an exponential random variable with a mean of five minutes. (a) What is the probability that more than three customers arrive in 10 minutes? (b) What is the probability that the time until the fifth customer arrives is less than 15 minutes?
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