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)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77ccc228-61ae-45bc-bff3-36e89ce5abe9%2F78a80be3-2595-4f34-8d2e-a25bc9e08f61%2F3befny_processed.jpeg&w=3840&q=75)
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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