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You roll one red die and one green die. Define the random variables X and Y...

You roll one red die and one green die. Define the random variables X and Y as follows: X = the absolute value of difference of the number on the red die and the number on the green die. Y = the sum of the number of dice that show the number 1.
For example, if the red and green dice show the numbers 3 and 6, then X=3 and Y =0.

(a) Make a table showing the joint probability mass function for X and Y .

(b) Find the marginal distribution for Y .

(c) Compute E(Y ).

Math   Statistics-And-Probability   
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