An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed. Suppose the orders follow a Poisson distribution with a mean of 0.26 per week for a city with a population of 100,000 and suppose your city contains 800,000. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that a technician is required after a 1-week period? Probability = i (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 2 weeks from the time you place your order until a technician is dispatcher? Probability i =

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An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed.
Suppose the orders follow a Poisson distribution with a mean of 0.26 per week for a city with a population of 100,000 and suppose
your city contains 800,000.
Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that a technician is required after a 1-week period?
Probability
i
(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 2 weeks from the time
you place your order until a technician is dispatcher?
Probability i
=
Statistical Tables and Charts
Transcribed Image Text:An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed. Suppose the orders follow a Poisson distribution with a mean of 0.26 per week for a city with a population of 100,000 and suppose your city contains 800,000. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that a technician is required after a 1-week period? Probability i (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 2 weeks from the time you place your order until a technician is dispatcher? Probability i = Statistical Tables and Charts
Expert Solution
Step 1

The value of λ=0.26 for each week for a region of  population of 100000 and the city contains 800000.

Thus,

λ=800000100000×0.26=2.08

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