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

Question

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 6 small aircraft arrive during a 1 hour period What is the probability that at least 6 small aircraft arrive during a 1 hour period What is the probability that at least 11 small aircraft arrive during a 1 hour period b What is the expected value and standard deviation of the number of small aircraft that arrive during expected value standard deviation c What is the probability that at least 27 small aircraft arrive during a 2 5 hour period What is the probability that at most 17 small aircraft arrive during a 2 5 hour period You may need to use the appropriate table in the Appendix of Tables to answer this question 90 min period

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