
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
![Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with
corresponding probabilities 0.15, 0.15, 0.35, and 0.35, respectively.
(a) Calculate E(X) and then E(5 – X).
E(X)
=
E(5 - X)
(b) Would the repair facility be better off charging a flat fee of $95 or else the amount $
150
?
[(5 - X)]
Note: It is not generally true that E.
E(Y)
150
The repair facility
-Select--- v be better off charging a flat fee of $95 because E
(5 - X)](https://content.bartleby.com/qna-images/question/f8536f70-6afb-49b2-94d8-7d5f9820999c/eaefb72a-a64b-4c54-94d8-fd24f3e8482f/0hw968_thumbnail.png)
Transcribed Image Text:Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with
corresponding probabilities 0.15, 0.15, 0.35, and 0.35, respectively.
(a) Calculate E(X) and then E(5 – X).
E(X)
=
E(5 - X)
(b) Would the repair facility be better off charging a flat fee of $95 or else the amount $
150
?
[(5 - X)]
Note: It is not generally true that E.
E(Y)
150
The repair facility
-Select--- v be better off charging a flat fee of $95 because E
(5 - X)
Expert Solution

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Step 1
We have given that
E(X) = ∑X(p)
E( c - x ) = c - E(x)
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