THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
Consider the following probability distribution function.

-What is the expected value of X?
A)2.74
B)0.46
C)1.78
D)3.02

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
Consider the following probability distribution function.
 
-What is the expected value of X?
A)2.74 
B)0.46 
C)1.78 
D)3.02

Quizplus · Accepted Answer

The expected value of X is the mean, which is the sum of all possible values of X multiplied by their probabilities. In this case, the possible values of X are 1, 2, 3, and 4, and their probabilities are 0.2, 0.3, 0.4, and 0.1, respectively. Therefore, the expected value of X is:E(X) = 1 * 0.2 + 2 * 0.3 + 3 * 0.4 + 4 * 0.1 = 2.74