Flight safety is significantly enhanced through redundancy. Examples of redundancy in small aircraft design include a co-pilot’s duplicate set of flight controls, an ignition system independent of the electrical system, and engines that continue to run if the alternator and battery fail. Even if the engine completely fails, the plane can still be safely landed as a glider [1]. In this problem, you will use probability analysis to show how redundancy in a valve system enhances the system’s reliability. As you do the calculations, assume that each valve’s function is independent of the other valves’ function.Before installing these valves in an aircraft, the test engineer subjected the valves to rigorous laboratory testing. Based on the experimental data, it was determined that the probabilities of each of the three valves functioning correctly are:Valve A: 92%Valve B: 94%Valve C: 93% In a serial system of three valves (Figure 1), if any of the individual valves fail, the system willfail, since the line from left to right will be broken. All three valves must work for the system tofunction correctly.Figure 1. Three valves in series1. What is the probability that the serial system shown in Figure 1 will function correctly?In other words, what is the probability of all three valves working correctly?

Introduction: It is required to find the probability that the system will function correctly.

Answered: Flight safety is significantly enhanced…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Flight safety is significantly enhanced through redundancy. Examples of redundancy in small aircraft design include a co-pilot’s duplicate set of flight controls, an ignition system independent of the electrical system, and engines that continue to run if the alternator and battery fail. Even if the engine completely fails, the plane can still be safely landed as a glider [1]. In this problem, you will use probability analysis to show how redundancy in a valve system enhances the system’s reliability.

As you do the calculations, assume that each valve’s function is independent of the other valves’ function.
Before installing these valves in an aircraft, the test engineer subjected the valves to rigorous laboratory testing. Based on the experimental data, it was determined that the probabilities of each of the three valves functioning correctly are:

Valve A: 92%
Valve B: 94%
Valve C: 93%