Question: A survey of a represenative group of students yields the following information:

· 52 percent are male

· 85 percent live on campus

· 78 percent are male or are active in intramural sports (or both)

· 30 percent live on campus but are not active in sports

· 32 percent are male, live on campus, and are active in sports

· 8 percent are male and live off campus

· 17 percent are male students inactive in sports

a. What is the probability that a randomly chosen student is male and lives on campus?

b. What is the probability of a male, on campus student who is not active in sports?

c. What is the probability of a female student active in sports?