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

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Statistics

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

a) Find expected value and variance of the number of requests in30-minutes. Then compute the probability that there is at most onerequest in 30-minute interval. Clearly state the random variable ofinterest using the context of the problem and what probabilitydistribution it follows.

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

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