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Weekly CPU time used by an accounting firm has probability
Chapter 4, Problem 32E(choose chapter or problem)
Weekly CPU time used by an accounting firm has probability density function (measured in hours) given by
\(f(y)=\left\{\begin{array}{ll}
(3 / 64) y^{2}(4-y), & 0 \leq y \leq 4, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Find the expected value and variance of weekly CPU time.
b The CPU time costs the firm per hour. Find the expected value and variance of the weekly cost for CPU time.
Equation Transcription:
Text Transcription:
f(y)=
(3/64)y^2(4-y), 0</=y</=4,
0, elsewhere.
Questions & Answers
QUESTION:
Weekly CPU time used by an accounting firm has probability density function (measured in hours) given by
\(f(y)=\left\{\begin{array}{ll}
(3 / 64) y^{2}(4-y), & 0 \leq y \leq 4, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
a Find the expected value and variance of weekly CPU time.
b The CPU time costs the firm per hour. Find the expected value and variance of the weekly cost for CPU time.
Equation Transcription:
Text Transcription:
f(y)=
(3/64)y^2(4-y), 0</=y</=4,
0, elsewhere.
ANSWER:
Solution:
Step 1 of 4:
The given probability density function is
