Assuming all 5 generaors are perfectly correlated (if one fails they all fail), calculate the probability of not being able to provide power via the emergency generator network b) The lifetime of a generator is 20 years. Find the probability of observing no earthquakes during the lifetime of a newly installed generator.

Assuming all 5 generaors are perfectly correlated (if one fails they all fail), calculate the probability of not being able to provide power via the emergency generator network b) The lifetime of a generator is 20 years. Find the probability of observing no earthquakes during the lifetime of a newly installed generator.

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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Question

A power plant is equipped with 5 emergency generators in case of the mains failing as a result of an earthquake. The failure probability of each generator is attached.

a) Assuming all 5 generaors are perfectly correlated (if one fails they all fail), calculate the probability of not being able to provide power via the emergency generator network

b) The lifetime of a generator is 20 years. Find the probability of observing no earthquakes during the lifetime of a newly installed generator.

Given:

rate of earthquakes is 0.25/year on average for any given year

probability of observing no earthquakes in any given year = 0.7788

4
(4)
(9)
(4)
1 2 3 4 5
In the case of an earthquake, the failure probability of each individual emergency
generator is listed in Table Q2 below.
Generator
Failure
probability
Table Q2: Failure probability for each generator
3
4
0.45
0.33
1
0.25
2
0.40
5
0.25

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