Random variable x has the probability function: f(x) =x/6 for x = 1,2 or 3. The expected value of x is
A) 0.333.
B) 0.500.
C) 2.000.
D) 2.333.

Question

Quizplus · Accepted Answer

The expected value E(x) of a discrete random variable x is calculated by summing the products of each value of x and its corresponding probability. Given the probability function f(x) = x/6 for x = 1, 2, or 3, we calculate E(x) as follows: E(x) = (1)(1/6) + (2)(2/6) + (3)(3/6) = 1/6 + 4/6 + 9/6 = 14/6 = 2.333.

Random Variable X Has the Probability Function: F(x) =X/6 for X