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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)	0.60	0.25	0.10	0.05

(a) Compute E(Y).

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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Statistics and Probability, Statistics

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