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
- What is the probability that a randomly chosen student is male and lives on campus?
- What is the probability of a male, on campus student who is not active in sports?
- What is the probability of a female student active in sports?
Pfeiffer, Applied Probability, 2.3 Problems on Minterm Analysis, exercise 11