A popular clothing manufacturer receives Internet orders via two different routing systems. The time between orders for each routing system in a typical day is known to be exponentially distributed with a mean of 3.2 minutes. Both systems operate independently. A. What is the probability that no orders will be received in a 5 minute period in a 10 minute period? B. What is the probability that both systems receive two orders between 10 and 15 minutes after the site is officially open for business?

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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A popular clothing manufacturer receives Internet orders via two different
routing systems. The time between orders for each routing system in a typical
day is known to be exponentially distributed with a mean of 3.2 minutes. Both
systems operate independently.
A. What is the probability that no orders will be received in a 5 minute period in
a 10 minute period?
B. What is the probability that both systems receive two orders between 10 and
15 minutes after the site is officially open for business?
Transcribed Image Text:A popular clothing manufacturer receives Internet orders via two different routing systems. The time between orders for each routing system in a typical day is known to be exponentially distributed with a mean of 3.2 minutes. Both systems operate independently. A. What is the probability that no orders will be received in a 5 minute period in a 10 minute period? B. What is the probability that both systems receive two orders between 10 and 15 minutes after the site is officially open for business?
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