Two fair dice are rolled. Let X represent the number on

Chapter 2, Problem 30SE

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Two fair dice are rolled. Let X represent the number on the first die, and let Y represent the number on the second die. Find \(\mu_{X Y}\).

Questions & Answers

QUESTION:

Two fair dice are rolled. Let X represent the number on the first die, and let Y represent the number on the second die. Find \(\mu_{X Y}\).

ANSWER:

Step 1 of 2

It is given that two fair dice are rolled. X denotes the number on the first die and Y denotes the number on the second die.

Then X and Y can take values 1,2,3,4,5,6.

 Since the dice are fair, \(\mathrm{P}(\mathrm{X}=\mathrm{x})=\frac{1}{6}\) and \(\mathrm{P}(\mathrm{Y}=\mathrm{y})=\frac{1}{6}\).

We have to find the expected value of the joint probability mass function. That is we have to find \(\mu(X Y)\).

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