You are given the following system that consists of one controller and three peripherals (P1, P2, and P3): P1 P2 Controller P2 P3 P1 P3 By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals are functioning. The controller fails with a probability of p and any peripheral fails with a probability of a. All events are independent. If p=1/3 and a=1/2, what is the probability that the system is up?
You are given the following system that consists of one controller and three peripherals (P1, P2, and P3): P1 P2 Controller P2 P3 P1 P3 By inspection, it turns out that this system is up if the controller and at least 2 of the peripherals are functioning. The controller fails with a probability of p and any peripheral fails with a probability of a. All events are independent. If p=1/3 and a=1/2, what is the probability that the system is up?
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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