Question: onsider the sample space S = {(0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2)}, and denote outcomes by (i, j). (a)

onsider the sample space S = {(0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 2)}, and denote outcomes by (i, j). (a) Define the random variables W (i, j) = j i and Z(i, j) = i2 j2. List the possible values of each. (b) Assume P({(i, j)}) = i j 1 18 for each outcome. Find P(W = x) for all real x. (c) Assume as above. Find P(Z = x) for all real x

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