Question: For each of the following, determine whether the given function can serve as the probability distribution of a random variable with the given range: (a)

For each of the following, determine whether the given function can serve as the probability of a random variable with the given range:
(a) f (x) = x- 2/5 for x = 1, 2, 3, 4, 5;
(b) f (x) = x2/30 for x = 0, 1, 2, 3, 4;
(c) f (x) = 1/5 for x = 0, 1, 2, 3, 4, 5.

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