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

image text in transcribed MY NOTES 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 8t. (Round your answers to three decimal places.) (a) What is the probability that exactly 7 small aircraft arrive during a 1-hour period? 1396 What is the probability that at least 7 small aircraft arrive during a 1-hour period? 6866 What is the probability that at least 14 small aircraft arrive during a 1-hour period? 0342 (b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period? expected value standard deviation 10 3,162 (c) What is the probability that at least 29 small aircraft arrive during a 2.5-hour period? 034 What is the probability that at most 17 small aircraft arrive during a 2.5-hour period? 779 x

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