Solution Found!
If, as in Exercise 4.17, Y has density function find the
Chapter 4, Problem 21E(choose chapter or problem)
If, as in Exercise 4.17, has density function
\(f(y)=\left\{\begin{array}{ll}
(3 / 2) y^{2}+y, & 0 \leq y \leq 1, \\
0, & \text { elsewhere, }
\end{array}\right.
\)
find the mean and variance of .
Equation Transcription:
Text Transcription:
f(y)=
(3/2)y^2+y, 0</=y</=1,
0, elsewhere,
Questions & Answers
QUESTION:
If, as in Exercise 4.17, has density function
\(f(y)=\left\{\begin{array}{ll}
(3 / 2) y^{2}+y, & 0 \leq y \leq 1, \\
0, & \text { elsewhere, }
\end{array}\right.
\)
find the mean and variance of .
Equation Transcription:
Text Transcription:
f(y)=
(3/2)y^2+y, 0</=y</=1,
0, elsewhere,
ANSWER:
Solution
Step 1 of 2
We have to find mean and variance of the given density function
Given that
= 0, Otherwise
Mean =E(Y)
=
=
=
=
=(3/8)+(1/3)
=0.7083