Suppose small aircraft arrive at a certain airport according to a Poisson process with rate = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter = 8t.

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 a 105-min period?

expected value

standard deviation

c. What is the probability that at least 26 small aircraft arrive during a 2.5-hour period?

What is the probability that at most 13 small aircraft arrive during a 2.5-hour period?

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