Probability that a technician is required
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?
For problem choose what type of problem it is and solve
using binomial, geometric, or Poisson distribution. Restate problem in solution
or copy it as I give you, please show equations used and numbers below each
equations, and list which each variable =’s to its corresponding number (ie
lambda = 6, then in equation set up lambda = nd and list numbers below that
belong to the variables) then give solution answer. Please skip no steps. Thank
you.
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