Suppose X, Y, and Z have joint pmf P(X = x, Y = y, Z = z)

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Suppose X, Y, and Z have joint pmf P(X = x, Y = y, Z = z) = c, for x = 1, . . . , n, y = 1, . . . , x, z = 1, . . . y.
(a) Find the constant c. Of use will be the formula for the sum of the first n squares

Π n(n + 1)(2n + 1) Σ Η. k=1

(b) For n = 4, find P(X ‰¤ 3, Y ‰¤ 2, Z = 1).

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