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?