The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family. What is the probability of randomly selecting 40 families from the United States and finding an average of 3 or more children?

Explanation:

Given the two events below, which one is more likely? Explain.

Event A: Randomly selecting a family from the United States that has 3 or more children.

Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

Because the distribution is strongly skewed right, it means families are likely to have more than the mean, 2.5 children. So the probability is high that a randomly selected family will have 3 or more children. But the probability is even higher when 40 families are randomly selected because with a sample size of 40, the results are more likely to follow the main distribution than with a sample size of 1.