A system, A, is composed of two subsystem in parallel with each subsystem having three components in series. Each component operates independently and has a probability of failure at 0.15. a. Draw a diagram for this system. b. Find the probability that system A works. c. If we want a system with a reliability of at least 99%, how many subsystems as in system A do we need?

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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I'm mainly struggling to understand part C

1. A system, A, is composed of two subsystem in parallel with each subsystem having three
components in series. Each component operates independently and has a probability of
failure at 0.15.
a. Draw a diagram for this system.
b. Find the probability that system A works.
c. If we want a system with a reliability of at least 99%, how many subsystems as in system
A do we need?
Transcribed Image Text:1. A system, A, is composed of two subsystem in parallel with each subsystem having three components in series. Each component operates independently and has a probability of failure at 0.15. a. Draw a diagram for this system. b. Find the probability that system A works. c. If we want a system with a reliability of at least 99%, how many subsystems as in system A do we need?
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