Question

The random variable W can take on the values of 0, 1, 2, 3, or 4. The expected value of W is 2.8. Which of the following is the best interpretation of the expected value of random variable W?

A. A randomly selected value of W must be equal to 2.8.

B.The values of W vary by about 2.8 units from the mean of the distribution.

C.The mean of a random sample of values selected from the distribution will be 2.8.

D.A value of W randomly selected from the distribution will be less than 2.8 units of the mean.

E. For values of W, repeatedly selected at random from the distribution, the mean of the selected values will approach 2.8.

E? or C?

Answer 1

its E

Answer 2

why is tatiana right

Answer 3

Tatiana is right

Answer 4

E is right because it uses the law of large numbers. Since the mean of the repeated sample most likely would not be exactly 2.8, E would make a better response because all the larger the sample the closer it would approach 2.8.

Answer 5

Monh, could you please elaborate on your response?

Answer 6

Expected value is the same thing as the mean. So, the answer is C!

Answer 7

Yes