Suppose that the number of requests for assistance received by a towing service is a Poisson...

Suppose that the number of requests for assistance received by a towing service is a Poisson process with rate α = 6 per hour.

a) Find expected value and variance of the number of requests in 30-minutes. Then compute the probability that there is at most one request in 30-minute interval. Clearly state the random variable of interest using the context of the problem and what probability distribution it follows.

b) What is the probability that more than 20 minutes elapse between two successive requests? Clearly state the random variable of interest using the context of the problem and what probability distribution it follows.

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orchestra answered 1 year ago

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