The National Sproting Goods Association collects and publishes data on participation in selected sports activities. For Americans 7 years old or older, 17.4% of males and 4.5% of females play golf. And, according to the U.S. Census Bureau's Current Population Reports, of Americans 7 years old or older, 48.6% are male and 51.4% are female. From among those AMericans who are 7 years old or older, one is selected at random. Find the probability that the person selected.

a) Plays golf, given that the person is a female

b) Is a female, given that the person plays golf.

c) Interpret your answers in parts (a) and (b) in terms of percentages.