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4. Suppose that a system consists of 4 independent components C₁, C₁ connected as below, with P(C₁) = 0.9, P(C₂) = 0.8, P(C3) = 0.95, P(C4) = 0.7, in which P(C;) denotes the probability that the component C; works properly. (a) What is the chance that the first parallelly connected component works properly? (b) What is the probability that the system works properly?

4. Suppose that a system consists of 4 independent components C₁, C₁ connected as below, with P(C₁) = 0.9, P(C₂) = 0.8, P(C3) = 0.95, P(C4) = 0.7, in which P(C;) denotes the probability that the component C; works properly. (a) What is the chance that the first parallelly connected component works properly? (b) What is the probability that the system works properly?

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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C₁ C₂ C3 C₁ 4. Suppose that a system consists of 4 independent components C₁, C₁ connected as below, with P(C₁) = 0.9, P(C₂) = 0.8, P(C3) = 0.95, P(C4) = 0.7, in which P(C;) denotes the probability that the component C; works properly. (a) What is the chance that the first parallelly connected component works properly? (b) What is the probability that the system works properly?
Transcribed Image Text:C₁ C₂ C3 C₁ 4. Suppose that a system consists of 4 independent components C₁, C₁ connected as below, with P(C₁) = 0.9, P(C₂) = 0.8, P(C3) = 0.95, P(C4) = 0.7, in which P(C;) denotes the probability that the component C; works properly. (a) What is the chance that the first parallelly connected component works properly? (b) What is the probability that the system works properly?
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