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
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
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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Question
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
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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