Question

Suppose small aircraft arrive at a certain airport according to a Poisson process with a mean...

Suppose small aircraft arrive at a certain airport according to a Poisson process with a mean rate of 8

per hour.

a. Let be the waiting time until the 4th aircraft arrives. Identify the distribution of T, including any parameters, and find

P(T ≤ 1)

b. Let Y be the number of aircraft that arrive during a one-half hour period. Identify the distribution of Y, including any parameters, and find P(Y ≥ 3)

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