Question

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)

Answer #1

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Suppose small aircraft arrive at a certain airport according to
a Poisson process with rate α = 8 per hour, so that the number of
arrivals during a time period of t hours is a Poisson rv with
parameter μ = 8t. (Round your answers to three decimal places.)
(a) What is the probability that exactly 5 small aircraft arrive
during a 1-hour period?
What is the probability that at least 5 small aircraft arrive
during a 1-hour period?
What...

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Suppose small aircraft arrive at a certain airport according to
a Poisson process with rate α = 8 per hour, so that the
number of arrivals during a time period of t hours is a
Poisson rv with parameter μ = 8t.
(Round your answers to three decimal places.)
(a) What is the probability that exactly 7 small aircraft arrive
during a 1-hour period?____________
What is the probability that at least 7 small aircraft arrive
during a 1-hour period?_____________
What...

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