A regional telephone company operates 3 identical relay stations at different locations. During a period of one year, the number of malfunctions reported by each station and the causes are shown below. Station A B C Problems with electricity supply 2 1 1 Computer crash 4 3 2 Electrical equipment failures 5 4 2 Failures caused by human errors 7 7 5 Where events are defined as: *Event A -> Failure at station A *Event B -> Failure at station B *Event C -> Failure at station C *Event D -> Electricity supply failure *Event E -> Computer crash failure *Event F -> Failure in electrical equipment *Event G -> Failure due to human errors a) What is the probability of a failure of station C? b) What is the probability of a failure due to human error? c) What is the probability of a computer crash and it happens at station B? d) What is the probability of failure of the electrical equipment or station A? e) Suppose you report a failure and it is found to have been caused by other human errors, what is the probability that it came from station C?

A regional telephone company operates 3 identical relay stations at different locations. During a period of one year, the number of malfunctions reported by each station and the causes are shown below. Station A B C Problems with electricity supply 2 1 1 Computer crash 4 3 2 Electrical equipment failures 5 4 2 Failures caused by human errors 7 7 5 Where events are defined as: Event A -> Failure at station A Event B -> Failure at station B Event C -> Failure at station C Event D -> Electricity supply failure Event E -> Computer crash failure Event F -> Failure in electrical equipment *Event G -> Failure due to human errors a) What is the probability of a failure of station C? b) What is the probability of a failure due to human error? c) What is the probability of a computer crash and it happens at station B? d) What is the probability of failure of the electrical equipment or station A? e) Suppose you report a failure and it is found to have been caused by other human errors, what is the probability that it came from station C?

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

100%

Station	A	B	C
Problems with electricity supply	2	1	1
Computer crash	4	3	2
Electrical equipment failures	5	4	2
Failures caused by human errors	7	7	5

Where events are defined as:

*Event A -> Failure at station A

*Event B -> Failure at station B

*Event C -> Failure at station C

*Event D -> Electricity supply failure

*Event E -> Computer crash failure

*Event F -> Failure in electrical equipment

*Event G -> Failure due to human errors

a) What is the probability of a failure of station C?

b) What is the probability of a failure due to human error?

c) What is the probability of a computer crash and it happens at station B?

d) What is the probability of failure of the electrical equipment or station A?

e) Suppose you report a failure and it is found to have been caused by other human errors, what is the probability that it came from station C?

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