The probability function for random variable X is specified as: The expected value of X is
A)0.333
B)0.500
C)2.000
D)2.333

Question

The probability function for random variable X is specified as:  The expected value of X is
A)0.333 
B)0.500 
C)2.000 
D)2.333

Quizplus · Accepted Answer

To find the expected value of X, we use the formula E(X) = ΣxP(x), where Σ is the summation symbol, x is the value of X, and P(x) is the probability of X taking the value x. Therefore, E(X) = (0 × 0.167) + (1 × 0.333) + (2 × 0.500) + (3 × 0) = 0 + 0.333 + 1.000 + 0 = 1.333. Hence, the closest choice to the expected value is D) 2.333.

The Probability Function for Random Variable X Is Specified As