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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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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