3.19 The occurrence of traffic accidents at an intersection may be modeled as a Poisson process, and based on historical records the average rate of accidents is once every 3 yr. (a) What is the probability that there will be no accident at the intersection for a period of 5 yr? (b) Suppose that in every accident at the intersection, there is a 5% probability of fatality. Based on the above Poison model, what is the probability of traffic fatality at this intersection over a period of 3 yr?

3.19 The occurrence of traffic accidents at an intersection may be modeled as a Poisson process, and based on historical records the average rate of accidents is once every 3 yr. (a) What is the probability that there will be no accident at the intersection for a period of 5 yr? (b) Suppose that in every accident at the intersection, there is a 5% probability of fatality. Based on the above Poison model, what is the probability of traffic fatality at this intersection over a period of 3 yr?

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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Kindly show your complete solution. (Handwritten if possible) Thank you.

3.19 The occurrence of traffic accidents at an intersection may
be modeled as a Poisson process, and based on historical records
the average rate of accidents is once every 3 yr.
(a) What is the probability that there will be no accident at the
intersection for a period of 5 yr?
(b) Suppose that in every accident at the intersection, there is
a 5% probability of fatality. Based on the above Poison model,
what is the probability of traffic fatality at this intersection over
a period of 3 yr?

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