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 7 small aircraft arrive during a 1-hour period? What is the probability that at least 7 small aircraft arrive during a 1-hour period? What is the probability that at least 10 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 a 90-min period? expected value = _______ stsandard 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 14 small aircraft arrive during a 2.5-hour period?

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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.

(a) What is the probability that exactly 7 small aircraft arrive during a 1-hour period?

What is the probability that at least 7 small aircraft arrive during a 1-hour period?

What is the probability that at least 10 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 a 90-min period?

expected value = _______

stsandard deviation = _______

What is the probability that at most 14 small aircraft arrive during a 2.5-hour period?

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milcah answered 2 years ago

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