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

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

Zachary Stone · Accepted Answer

Final Answer : D, Explanation :  The expected value (mean) of a discrete random variable is calculated by summing the products of each value of the random variable and its corresponding probability. Given the probability function f(x) = x/6 for x = 1, 2, or 3, we calculate the expected value 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 = 1,2 or 3.The expected value of x is

A) 0.333.
B) 0.500.
C) 2.000.
D) 2.333.

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