The probability model for random variable X is specified as: P (X = x) = The expected value of X is
A) 2.00.
B) 0.50.
C) 0.333.
D) 2.333.
E) 0.167.

Question

The probability model for random variable X is specified as: P (X = x) =   The expected value of X is
A) 2.00. 
B) 0.50. 
C) 0.333. 
D) 2.333. 
E) 0.167.

Quizplus · Accepted Answer

To find the expected value of X, we need to sum up the products of the possible outcomes of X and their respective probabilities. So, we have:

E(X) = Σ[x∙P(X = x)]

Using the given probability model, we have:

E(X) = (0∙0.1) + (1∙0.2) + (2∙0.3) + (3∙0.2) + (4∙0.1) = 2.0

Therefore, the expected value of X is 2.0, which corresponds to option D.

The Probability Model for Random Variable X Is Specified As