A discrete random variable X has The following probability d

A discrete random variable X has The following probability distribution: P(X = x) = 2x + 1/c,x = 0,1,2,3,4 - = 0,1,2,3,4 c What is The value of The constant c ?

Solution

A probability distribution must add up to 1.

Thus,

(2(0) + 1)/c + (2(1) + 1)/c + (2(2) + 1)/c + (2(3) + 1)/c + (2(4) + 1)/c = 1

25/c = 1

c = 25 [answer]