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2x - 1 1. Let the pmf of X be defined by f (x) = for 16 x = 1,2, 3, 4. Find the (a)

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2x - 1 1. Let the pmf of X be defined by f (x) = for 16 x = 1,2, 3, 4. Find the (a) mean, / (b) variance, 02 (c) standard deviation, o 2. What is the constant c so that f(x) = c(x + 1)2, is a pmf for x = 0, 1, 2, 3. 3-I 3! 3 3. Let f (x) = z! (3 - 2) ! , for x = 0, 1, 2, 3. Determine each of the following (a) H = E(X) (b) E[(X - 1)] (c) 02 = E[X(X - 1)] + E[X] - 12

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