The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 7 minutes. What is the probability that a person is served in less than 3 minutes on at least 4 of the next 6 days? The probability is (Round to four docimal placos as pooded)

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 length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with
a mean of 7 minutes. What is the probability that a person is served in less than 3 minutes on at least 4 of the next 6 days?
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 7 minutes. What is the probability that a person is served in less than 3 minutes on at least 4 of the next 6 days? The probability is (Round to four decimal places as needed.)
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