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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter - Bt. (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 14 small aircraft arrive during a 1-hour period? 0.034 (b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 105-min period? expected value

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter - Bt. (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 14 small aircraft arrive during a 1-hour period? 0.034 (b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 105-min period? expected value

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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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 - Bt. (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 14 small aircraft arrive during a 1-hour period? 0.034 (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 25 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? 0.105 You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read
Transcribed Image Text: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 - Bt. (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 14 small aircraft arrive during a 1-hour period? 0.034 (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 25 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? 0.105 You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read
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