Question 4. A power electric circuit has safety fuse. Three types of faults A,B and C may appears in the system with probabilities 0.1, 0.2, and 0.3. In case of fault A, fuse acts and disconnects power with probability 0.9, in case of fault B it acts with probability 0.8 and in case of fault C it acts with probability 0.85. A. What is the probability that fuse acts and disconnects the power. B. Let assume that fuse acted, what is the probability that fault A have been occurred?

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 4. A power electric circuit has safety fuse. Three types
of faults A,B and C may
appears in the system with probabilities 0.1, 0.2, and 0.3. In case
of fault A, fuse acts and
disconnects power with probability 0.9, in case of fault B it acts
with probability 0.8 and in
case of fault C it acts with probability 0.85.
A. What is the probability that fuse acts and disconnects the
power.
B. Let assume that fuse acted, what is the probability that fault A
have been occurred?
Transcribed Image Text:Question 4. A power electric circuit has safety fuse. Three types of faults A,B and C may appears in the system with probabilities 0.1, 0.2, and 0.3. In case of fault A, fuse acts and disconnects power with probability 0.9, in case of fault B it acts with probability 0.8 and in case of fault C it acts with probability 0.85. A. What is the probability that fuse acts and disconnects the power. B. Let assume that fuse acted, what is the probability that fault A have been occurred?
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