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The time between successive arrivals of the planes to a busy airport is random variable which Follows exponential distribution. It was observed that on average planes arrive to the airport 0.2 arrivals every five minutes (1/2=5 min) and average number of arrivals in one minute is λ=₁ 1min a. The probability that the time between successive arrivals is less than 5 minutes is o. The probability that the time between successive arrivals is more than 10 minutes is c. The probability that the time between successive arrivals is between 15 and 20 minutes is Assume that the time between successive arrivals of the planes is exponential random variable denoted by Y. Show some work to answer questions a h and

The time between successive arrivals of the planes to a busy airport is random variable which Follows exponential distribution. It was observed that on average planes arrive to the airport 0.2 arrivals every five minutes (1/2=5 min) and average number of arrivals in one minute is λ=₁ 1min a. The probability that the time between successive arrivals is less than 5 minutes is o. The probability that the time between successive arrivals is more than 10 minutes is c. The probability that the time between successive arrivals is between 15 and 20 minutes is Assume that the time between successive arrivals of the planes is exponential random variable denoted by Y. Show some work to answer questions a h and

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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14. The time between successive arrivals of the planes to a busy airport is random variable which follows exponential distribution. It was observed that on average planes arrive to the airport 0.2 arrivals every five minutes (1/2=5 min) and average number of arrivals in one minute is λ=- 1 min a. The probability that the time between successive arrivals is less than 5 minutes is b. The probability that the time between successive arrivals is more than 10 minutes is c. The probability that the time between successive arrivals is between 15 and 20 minutes is Assume that the time between successive arrivals of the planes is exponential random variable denoted by Y. Show some work to answer questions a, b. and c.
Transcribed Image Text:14. The time between successive arrivals of the planes to a busy airport is random variable which follows exponential distribution. It was observed that on average planes arrive to the airport 0.2 arrivals every five minutes (1/2=5 min) and average number of arrivals in one minute is λ=- 1 min a. The probability that the time between successive arrivals is less than 5 minutes is b. The probability that the time between successive arrivals is more than 10 minutes is c. The probability that the time between successive arrivals is between 15 and 20 minutes is Assume that the time between successive arrivals of the planes is exponential random variable denoted by Y. Show some work to answer questions a, b. and c.
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