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3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with an average rate of three accidents per year. (a) Determine the probability of exactly one accident over a 2-month period. Would this be the same as the probability of exactly two accidents in a 4-month period? Explain.

3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with an average rate of three accidents per year. (a) Determine the probability of exactly one accident over a 2-month period. Would this be the same as the probability of exactly two accidents in a 4-month period? Explain.

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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3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with an average rate of three accidents per year. (a) Determine the probability of exactly one accident over a 2-month period. Would this be the same as the probability of exactly two accidents in a 4-month period? Explain.
Transcribed Image Text:3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with an average rate of three accidents per year. (a) Determine the probability of exactly one accident over a 2-month period. Would this be the same as the probability of exactly two accidents in a 4-month period? Explain.
(b) If fatalities are involved in 20% of the accidents, what is the probability of fatalities occurring at this intersection over a period of 2 months? Assume that events of fatalities between accidents are statistically independent.
Transcribed Image Text:(b) If fatalities are involved in 20% of the accidents, what is the probability of fatalities occurring at this intersection over a period of 2 months? Assume that events of fatalities between accidents are statistically independent.
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