picougj3151 picougj3151

23-05-2023
Mathematics

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It can be shown that if events are occurring in time according to a Poisson distribution with mean
λt
then the interarrival times between events have an exponential distribution with mean 1/λ
(a)Suppose that customers arrive at a checkout counter at the rate of two per minute.
What are the mean (in minutes) and variance of the waiting times between successive customer arrivals?
mean = min
variance =
(b)
If a clerk takes 3.2 minutes to serve the first customer arriving at the counter, what is the probability that at least one more customer will be waiting when the service to the first customer is completed? (Round your answer to four decimal places.)

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