Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Let X = the number of living grandparents that a randomly selected person has. B

ID: 3206454 • Letter: L

Question

Let X = the number of living grandparents that a randomly selected person has. Based on data from the most recent U.S. Census, the table below gives the probability distribution of X. The expected value of X is 0.5. interpretation of this value? Which of the following gives the best interpretation of this value? If you randomly select an American, the most likely number of living grandparents that person has is 0.5. B. In a sample of 10 randomly selected Americans, there will be a total of 5 living grandparents among the persons in the sample. C. In a large number of randomly selected Americans, we would expect the average number of living grandparents the selected persons have to be approximately 0.5. D. In a sample of 1,000 randomly selected Americans, we would expect approximately 500 of them to still have a living grandparent

Explanation / Answer

The answer is C because expected value is the mean value in the long run if we take many repeated samples.