Problem 30SE

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 μXY.

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,P(X=x)= and P(Y=y)=.

We have to find the expected value of joint probability mass function. That is we have to find