Suppose that arrivals to an emergency room follow a Poisson process with meantwo patients every 5 minutes. Calculate the probabilities of (a) no customers in 2 minutes; (b) exactly 2 customers in a minute; (c) exactly 5 customers in 3 ­minutes;and (d) no more than 2 customers in 5 minutes.

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Suppose that arrivals to an emergency room follow a Poisson process with mean
two patients every 5 minutes. Calculate the probabilities of (a) no customers in 2 minutes; (b) exactly 2 customers in a minute; (c) exactly 5 customers in 3 ­minutes;
and (d) no more than 2 customers in 5 minutes.

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