A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.3 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components areoperating. Assume that the components operate independently. (Round your answers to four decimal places.)(a) Find the probability that exactly four of the eight components last longer than 1,000 hours.(b) Find the probability that the subsystem operates longer than 1,000 hours.

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Answered: A complex electronic system is built…

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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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components areoperating. Assume that the components operate independently. Find the probability that;(a) Exactly two of the four components last longer than 1000 hours. (b) The subsystem operates longer than 1000 hours
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