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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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 Suppose small aircraft arrive at a certain airport according to a Poisson process with rate per hour (alpha = 8), so that the number of arrivals during a time period of t hours is a Poisson rv with parameter (u = 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?

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