Question: Two boxes each holds three tickets numbered 1, 2, 3. One ticket is randomly selected from each box. Let X be the random variable that

Two boxes each holds three tickets numbered 1, 2, 3. One ticket is randomly selected from each box. Let X be the random variable that is the sum of the numbers on the two selected tickets. Find the 

(a) the probability function of X;  

(b) E(X); 

(c) VAR(X).

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