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.

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?

Expert Solution

milcah answered 2 years ago

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

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 λ = 8t. (a) What is the probability that exactly 6 small aircraft arrive during a 1-hour period? At least 6? At least 10? (b) What are the expected value and standard deviation of the number of small aircraft that arrive during...

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

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

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

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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.

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