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Problem 7) The number of buses that arrive at a bus stop in T minutes is a Poisson random
variable B with expected value T /5 . a) What is the PMF of B , the number of buses that arrive
in T minutes? b) What is the probability that in a two-minute interval, three buses will arrive? c)
What is the probability of no buses arriving in a 10 -minute interval? d) How much time should
you allow so that with probability 0.99 at least one bus arrives?

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  • 1. Problem 7) The number of buses that arrive at a bus stop in T minutes is a Poisson random variable B with expected value T /5 . a) What is the PMF of B , the number of buses that arrive in T minutes? b) What is the probability that in a two-minute interval, three buses will arrive? c) What is the probability of no buses arriving in a 10 -minute interval? d) How much time should you allow so that with probability 0.99 at least one bus arrives?