Queries presented to a computer database are a poisson, Basic Statistics

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Queries presented to a computer database are a poisson

Queries presented to a computer database are a Poisson process of rate λ = 6 queries per minute. An experiment consists of monitoring the database for m minutes and recording N(m), the number of queries presented. The answer to each of the following questions can be expressed in terms of the PMF P_N(m)(k) = P[N(m) = k].

(a) What is the probability of no queries in a one minute interval?

(b) What is the probability of exactly six queries arriving in a one-minute interval?

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