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one component doesn't influence the operation/failure of another). If event A is defined as "component A works" and so on, then P(A) = 0.9, P(B) = 0.88, P(C) = 0.94, and P(D) = 0.98. a. Calculate P(system works) as a function of only the P() notation - no numbers. b. Calculate the quantity for P(system works). D

one component doesn't influence the operation/failure of another). If event A is defined as "component A works" and so on, then P(A) = 0.9, P(B) = 0.88, P(C) = 0.94, and P(D) = 0.98. a. Calculate P(system works) as a function of only the P() notation - no numbers. b. Calculate the quantity for P(system works). D

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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Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is, operation/failure of one component doesn't influence the operation/failure of another). If event A is defined as "component A works" and so on, then P(A) = 0.9, P(B) = 0.88, P(C) = 0.94, and P(D) = 0.98. a. Calculate P(system works) as a function of only the P(-) notation - no numbers. b. Calculate the quantity for P(system works). с D
Transcribed Image Text:Problem 4 Consider the system of components connected as depicted below. The system can be thought of as being comprised of two subsystems: one with components A and B, and the other with components C and D. Components A and B are connected in parallel, therefore that subsystem works iff either A or B works. Since C and D are connected in series, that subsystem works iff both C and D work. Components work independent of each other (that is, operation/failure of one component doesn't influence the operation/failure of another). If event A is defined as "component A works" and so on, then P(A) = 0.9, P(B) = 0.88, P(C) = 0.94, and P(D) = 0.98. a. Calculate P(system works) as a function of only the P(-) notation - no numbers. b. Calculate the quantity for P(system works). с D
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Step 1: Reliability of the system is obtained

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