Problem#2: 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 a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose population of your city contains 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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem#2: An installation technician for a specialized communication
a city only when three or more orders have
been placed. Suppose orders follow a Poisson distribution with a mean
of 0.25 per week for a city with a population of 100,000 and suppose
is the
system is dispatched to
your
city
contains
population of
800,000.
(a) What
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:Problem#2: An installation technician for a specialized communication a city only when three or more orders have been placed. Suppose orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose is the system is dispatched to your city contains population of 800,000. (a) What 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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