Use this table: Dice table
to get the distribution for X, Y and XY. Then calculate the required expectations.
Hi!
Problem: A die is rolled twice. Let denote the sum of the two numbers that turn up, and the difference of the numbers (specifically, the number on the first roll minus the number on the second roll). Show that
Are and independant?
Thanks
Use this table: Dice table
to get the distribution for X, Y and XY. Then calculate the required expectations.