Find the expected value and variance of weekly cpu time the, Microeconomics

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Find the expected value and variance of weekly cpu time the

Weekly CPU time used by an accounting firm has probability density function (measured in hours) given by

f(x) = {(3/64)y2(4-y), 0≤y≤4, {0, elsewhere.

a Find the expected value and variance of weekly CPU time.

b The CPU time costs the firm $200 per hour. Find the expected value and variance of the weekly cost for CPU time.

c Would you expect the weekly cost to exceed $600 very often? Why?

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