Suppose X, Y, and Z are discrete random variables with these sets of possible outcomes: X =

Question:

Suppose X, Y, and Z are discrete random variables with these sets of possible outcomes:
X = {2, 2.5, 3}, Y = {0, 1, 2, 3}, and Z = {10, 11, 12}. For each of the functions f (X), g(Y), and h(Z), state whether the function satisfies the conditions for a probability function.
A. f (2) = −0.01 f (2.5) = −0.50 f (3) = −0.51
B. g(0) = 0.25 g(1) = 0.50 g(2) = 0.125 g(3) = 0.125
C. h(10) = 0.35 h(11) = 0.15 h(12) = 0.52