An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. y 0 1 2 3 p(y)       0.50     0.25     0.20     0.05   (a) Compute E(Y). (b) Suppose an individual with Y violations incurs a surcharge of $110Y2. Calculate the expected amount of the surcharge.

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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An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following.

y 0 1 2 3
p(y)       0.50     0.25     0.20     0.05  
(a) Compute E(Y).
(b) Suppose an individual with Y violations incurs a surcharge of $110Y2. Calculate the expected amount of the surcharge.
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