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?