4.32 Weekly CPU time used by an accounting firm has probability density function (measured in hours) given by (3/64)y²(4 – y), 0

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4.32 Weekly CPU time used by an accounting firm has probability density function (measured in
hours) given by
| (3/64)y²(4 – y), 0<y< 4,
0,
f (y) =
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?
Transcribed Image Text:4.32 Weekly CPU time used by an accounting firm has probability density function (measured in hours) given by | (3/64)y²(4 – y), 0<y< 4, 0, f (y) = 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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