Let Y denote a random variable with probability density

Chapter 4, Problem 184SE

(choose chapter or problem)

Get Unlimited 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)

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

                                                         =

                                         

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back