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

Suppose small aircraft arrive at a certain airport according to a Poisson process at a rate α=8 per hour.

(a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? (2 pts)

(b) What are the expected value and standard deviation of the number of small aircraft that arrive during a 90 minute period? (3 pts)

(c) What is the probability that at least 5 aircraft arrive during a 2.5 hour period? (5 pts)

Math   Statistics-And-Probability   
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