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 (...

For each of the following, determine whether the given values can serve as the values of a

Question:

For each of the following, determine whether the given values can serve as the values of a probability 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 .
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...