roblem #8: Consider the system of independent components connected as in the figure below. The system works only if thereis a path of functional components from left to right. Components 1 and 2 are connected in parallel, so thatsubsystem works if and only if either 1 or 2 works. Since 3 and 4 are connected in series, that subsystem works ifand only if both 3 and 4 work. Suppose that P(1 works) = 0.72, P(2 works) = 0.73, P(3 works) = 0.85, andP(4 works) = 0.86, and these events are mutually independent.Problem #8(a):Problem #8(b):312(a) Find the probability that the system works.(b) Find the probability that component 1 works, given that the system works.Round your answer to 4 decimals.Round your answer to 4 decimals.

Problem #8(a): Proble # 8(b): 3 4 (a) Find the probability that the system works. (b) Find the probability that component 1 works, given that the system works. Round your answer to 4 decimals. Round your answer to 4 decimals.

Problem #8(a): Proble # 8(b): 3 4 (a) Find the probability that the system works. (b) Find the probability that component 1 works, given that the system works. Round your answer to 4 decimals. Round your answer to 4 decimals.

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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