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

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 is the probability that at least 14 small aircraft arrive during a 1-hour period?

(b) What is the probability that at least 23 small aircraft arrive during a 2.5-hour period?

What is the probability that at most 19 small aircraft arrive during a 2.5-hour period?

Math   Statistics-And-Probability   
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