Question

85. 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? At least 6? At least 10? b. What are the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period? c. What is the probability that at least 20 small aircraft arrive during a 2.5-hour period? That at most 10 arrive during this period?

          85. 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? At least 6? At least 10?
b. What are the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period?
c. What is the probability that at least 20 small aircraft arrive during a 2.5-hour period? That at most 10 arrive during this period?

85. 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? At least 6? At least 10?
b. What are the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period?
c. What is the probability that at least 20 small aircraft arrive during a 2.5-hour period? That at most 10 arrive during this period?

Added by Christopher R.

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