Solution Found!
Let Y denote a random variable with probability density
Chapter 4, Problem 184SE(choose chapter or problem)
Let 𝑌 denote a random variable with probability density function given by
\(f(y)=(1/2)e^{-|y|},\quad\ \ \ \ -\infty<y<\infty.\)
Find the moment-generating function of 𝑌 and use it to find \(E(Y)\).
Equation Transcription:
Text Transcription:
f(y)=(1/2)e^-|y|, -infinity<y<infinity.
E(Y)
Questions & Answers
QUESTION:
Let 𝑌 denote a random variable with probability density function given by
\(f(y)=(1/2)e^{-|y|},\quad\ \ \ \ -\infty<y<\infty.\)
Find the moment-generating function of 𝑌 and use it to find \(E(Y)\).
Equation Transcription:
Text Transcription:
f(y)=(1/2)e^-|y|, -infinity<y<infinity.
E(Y)
ANSWER:
Solution
Step 1 of 1
We have to find the moment generating function of y
Given that
The moment generating function is
=