An installation technician for a specialized communication system is dispatched to a city only when three or more orders have been placed. Suppose orders follow with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains a population of 800,000. - (a) What is the probability that a technician is required after a one-week period? (b) If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?

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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An installation technician for a specialized communication system is dispatched to a city only when
three or more orders have been placed. Suppose orders follow with a mean of 0.25 per week for a city
with a population of 100,000 and suppose your city contains a population of 800,000.
(a) What is the probability that a technician is required after a one-week period?
(b) If you are the first one in the city to place an order, what is the probability that you have to wait more
than two weeks from the time you place your order until a technician is dispatched?
Transcribed Image Text:An installation technician for a specialized communication system is dispatched to a city only when three or more orders have been placed. Suppose orders follow with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains a population of 800,000. (a) What is the probability that a technician is required after a one-week period? (b) If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?
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