Does participation in youth and/or high school sports lead to greater wealth later in life? This was the subject of a recent Harris POLL (March 2015). The poll found that 15% of adults who participated in sports now have an income greater than $100,000. In comparison, 9% of adults who did not participate in sports have an income greater than $100,000.Consider a random sample of 25 adults, all of whom have participated in youth and/or high school sports.

a. What is the probability that fewer than 20 of these adults have an income greater than $100,000?

b. What is the probability that between 10 and 20 of these adults have an income greater than $100,000?

c. Repeat parts a and b, but assume that none of the 25 sampled adults participated in youth and/or high school sports.