Suppose the possible values of X are {xi}, the possible values of Y are {yj}, and the
Question:
Ak = {(i, j): xi + yj = zk}.
(a) Argue that
(b) Show that
(c) Using the formula from part (b), argue that
(d) Show that
(e) Prove that
E[X + Y] = E[X] + E[Y]
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