2. Consider a system of five identic al components connected in series, as illustrated in the figure below. 2 3 4 5 (a) Let A be the event that the system fails. For A to occur, at le ast one of the individual components must fail. How many outcomes are in the event A? Denote a component that fails by F and one that doesn't fail by S (for success). (b) What is the probability that 3 of the 5 components fail? (c) What is the probability that component 2 and com ponnt 4 fail?

2. Consider a system of five identic al components connected in series, as illustrated in the figure below. 2 3 4 5 (a) Let A be the event that the system fails. For A to occur, at le ast one of the individual components must fail. How many outcomes are in the event A? Denote a component that fails by F and one that doesn't fail by S (for success). (b) What is the probability that 3 of the 5 components fail? (c) What is the probability that component 2 and com ponnt 4 fail?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

2. Consider a system of five identic al components connected in series, as illustrated in the figure
below.
2
3
4
5
(a)
Let A be the event that the system fails. For A to occur, at le ast one of the individual
components must fail. How many outcomes are in the event A?
Denote a component that fails by F and one that doesn't fail by S (for success).
(b)
What is the probability that 3 of the 5 components fail?
(c)
What is the probability that component 2 and com ponnt 4 fail?

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