Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a = 8 per hour, so that the

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Suppose Small Aircraft Arrive At A Certain Airport According To A Poisson Process With Rate A 8 Per Hour So That The 1 (29.95 KiB) Viewed 31 times

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a = 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 8 small aircraft arrive during a 1-hour period? .140 What is the probability that at least 8 small aircraft arrive during a 1-hour period? 407 X What is the probability that at least 14 small aircraft arrive during a 1-hour period? 017 X (b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period? 12 expected value standard deviation 3.464 X X (c) What is the probability that at least 21 small aircraft arrive during a 2.5-hour period? What is the probability that at most 18 small aircraft arrive during a 2.5-hour period?