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A computer system for modelling air traffic flow of a hub airport that flights are routed though assumes that fights pass through the hub airport according to a Poisson process with rate A = 20 per hour and that jumbo passenger jets (JPJs) pass through according to an independent Poisson process with rate App per hour. According to the model, we have the following probabilities; • The probability that exactly 2 JPJs and 18 flights pass through the hub airport in one hour is 0.0189. The probability that exactly 4 JPJs and 22 flights pass through the hub airport in one hour is 0.0129. By taking a ratio of these probabilities, or otherwise, use this information to calculate XjPj

A computer system for modelling air traffic flow of a hub airport that flights are routed though assumes that fights pass through the hub airport according to a Poisson process with rate A = 20 per hour and that jumbo passenger jets (JPJs) pass through according to an independent Poisson process with rate App per hour. According to the model, we have the following probabilities; • The probability that exactly 2 JPJs and 18 flights pass through the hub airport in one hour is 0.0189. The probability that exactly 4 JPJs and 22 flights pass through the hub airport in one hour is 0.0129. By taking a ratio of these probabilities, or otherwise, use this information to calculate XjPj

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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A computer system for modelling air traffic flow of a hub airport that flights are routed though assumes that fights pass through the hub airport according to a Poisson process with rate A = 20 per hour and that jumbo passenger jets (JPJs) pass through according to an independent Poisson process with rate App per hour. According to the model, we have the following probabilities; • The probability that exactly 2 JPJs and 18 flights pass through the hub airport in one hour is 0.0189. The probability that exactly 4 JPJs and 22 flights pass through the hub airport in one hour is 0.0129. By taking a ratio of these probabilities, or otherwise, use this information to calculate XjPj
Transcribed Image Text:A computer system for modelling air traffic flow of a hub airport that flights are routed though assumes that fights pass through the hub airport according to a Poisson process with rate A = 20 per hour and that jumbo passenger jets (JPJs) pass through according to an independent Poisson process with rate App per hour. According to the model, we have the following probabilities; • The probability that exactly 2 JPJs and 18 flights pass through the hub airport in one hour is 0.0189. The probability that exactly 4 JPJs and 22 flights pass through the hub airport in one hour is 0.0129. By taking a ratio of these probabilities, or otherwise, use this information to calculate XjPj
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