Survey of youth sports’ parents. Youth sports is a big business. According to a recent (2019) Harris Poll of 1,000 parents with children who participate in youth sports, over half spend between $100 and $500 per month on youth sports programs and equipment. The poll also found that 34% of sports parents have professional sports and/or Olympic dreams for their child. In actuality, only 5% of sports parents’ children participate in the Olympics or “go pro”. Consider a random sample of 25 parents with children who play youth sports.

a. What is the probability that fewer than 20 of these parents have professional sports and/or Olympic dreams for their child?

b. What is the probability that between 10 and 20 of these parents have professional sports and/or Olympic dreams for their child?

c. What is the probability that fewer than 20 of these parents have children that reach the Olympics or “go pro?” Applying the Concepts—Intermediate