Question: Orders arrive at a Web site according to a Poisson process with a mean of 12 per hour. Determine the following: (a) Probability of no

Orders arrive at a Web site according to a Poisson process with a mean of 12 per hour. Determine the following:

(a) Probability of no orders in five minutes.

(b) Probability of 3 or more orders in five minutes.

(c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

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