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 
.
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The probability mass function of X is 
(x) = 1/6 for x = 1, 2, 3, 4, 5, or 6, and (x) = 0 for other values of x. Therefore 
= 1(1/6)+2(1/6)+3(1/6)+4(1/6)+5(1/6)+6(1/6) = 3.5. The probability mass function of Y is the same as that of X, so 
= = 3.5. Since X and Y are independent, 
= = (3.5)(3.5) = 12.25.
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