A manager of a fast food restaurant observes that, an average of 9 customers are served by a waiter in a one-hour time period. Assuming that the service time has an exponential distribution, what is the probability that (a) A customer shall be free within 12 minutes. (b) A customer shall be serviced in more than 25 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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  1. A manager of a fast food restaurant observes that, an average of 9 customers are served by a waiter in a one-hour time period. Assuming that the service time has an exponential distribution, what is the probability that

(a) A customer shall be free within 12 minutes.

(b) A customer shall be serviced in more than 25 minutes

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