Solution Found!
If, as in Exercise 4.18, Y has density function find the
Chapter 4, Problem 22E(choose chapter or problem)
If, as in Exercise has density function
\(f(y)=\left\{\begin{array}{ll}
.2, & -1<y \leq 0, \\
.2+(1.2) y, & 0<y \leq 1, \\
0, & \text { elsewhere, }
\end{array}\right.
\)
find the mean and variance of .
Equation Transcription:
Text Transcription:
f(y)=
.2, -1<y</=0,
.2+(1.2)y, 0<y</=1,
0, elsewhere,
Questions & Answers
QUESTION:
If, as in Exercise has density function
\(f(y)=\left\{\begin{array}{ll}
.2, & -1<y \leq 0, \\
.2+(1.2) y, & 0<y \leq 1, \\
0, & \text { elsewhere, }
\end{array}\right.
\)
find the mean and variance of .
Equation Transcription:
Text Transcription:
f(y)=
.2, -1<y</=0,
.2+(1.2)y, 0<y</=1,
0, elsewhere,
ANSWER:
Solution:
Step 1 of 2:
Let c be a constant and let g(Y),be a functions of a continuous random variable Y.
We have to prove the results.
- E(c) =c.
- E(c g(Y))= c E(g(Y)).
-
E[
+....+
= E[