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Suppose X = (X1, X2) has the uniform distribution on {1, 2, 3, 4, 5, 6}^ 2 . (a) Show that the components of X
Suppose X = (X1, X2) has the uniform distribution on {1, 2, 3, 4, 5, 6}^ 2 .
(a) Show that the components of X are independent.
(b) Determine the PMF of the distribution of the random variable Y = X1 + X2.
(c) Determine E(Y ).
(d) Define = E(Y ). Determine E{(Y ) 2}.
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