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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