Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α= 4 per hour, so that the number of arrivals during a time period of t hours is a Poisson random variable with parameter μ = 4t. (a) What is the probability that exactly 6 small aircraft arrive during a 2-hour period? (b) What is the probability that at least 6 small aircraft arrive during a 2-hour period? (c) What are the expected value and standard deviation of the number of small aircraft that arrive during a 100-min period? (d) What is the probability that at least 20 small aircraft arrive during a 2.5-hour period? (e) What is the probability that at most 20 small aircraft arrive during a 2.5-hour period?
Suppose small aircraft arrive at a certain airport according to a Poisson process
with rate α= 4 per hour, so that the number of arrivals during a time period of t
hours is a Poisson random variable with parameter μ = 4t.
(a) What is the
period?
(b) What is the probability that at least 6 small aircraft arrive during a 2-hour
period?
(c) What are the
aircraft that arrive during a 100-min period?
(d) What is the probability that at least 20 small aircraft arrive during a 2.5-hour
period?
(e) What is the probability that at most 20 small aircraft arrive during a 2.5-hour
period?
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