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 0.05, 0.45, 0.05, and 0.45, respectively.   (a) Calculate E(X) and then E(5 − X).   (b) Would the repair facility be better off charging a flat fee of $100 or else the amount $[150 / (5 - X)]? What is E[150 / (5 - X)]?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 0.05, 0.45, 0.05, and 0.45, respectively.
 
(a) Calculate E(X) and then E(5 − X).
 
(b) Would the repair facility be better off charging a flat fee of $100 or else the amount $[150 / (5 - X)]? What is E[150 / (5 - X)]? 
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