# Question

For each of the following, determine whether the given values can serve as the values of a probability distribution of a random variable with the range x = 1, 2, 3, and 4:

(a) f (1) = 0.25, f (2) = 0.75, f (3) = 0.25, and f (4) = - 0.25;

(b) f (1) = 0.15, f (2) = 0.27, f (3) = 0.29, and f (4) = 0.29;

(c) f (1) = 1/19 , f (2) = 10/19 , f (3) = 2/19 , and f (4) = 5/19 .

(a) f (1) = 0.25, f (2) = 0.75, f (3) = 0.25, and f (4) = - 0.25;

(b) f (1) = 0.15, f (2) = 0.27, f (3) = 0.29, and f (4) = 0.29;

(c) f (1) = 1/19 , f (2) = 10/19 , f (3) = 2/19 , and f (4) = 5/19 .

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