Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a a = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter µ = 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?
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate a a = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter µ = 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?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose small aircraft arrive at a certain airport according to a Poisson
process with rate a a = 8 per hour, so that the number of arrivals
during a time period of t hours is a Poisson rv with parameter µ = 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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