29. An individual who has automobile insurance from a certain company is randomly selected. Let Y be

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29. 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 y 0 1 2 3 p(y) .60 .25 .10 .05

a. Compute E(Y).

b. Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.

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