A local high school has both male and female students. Each student either plays a sport or doesn't. The two-way table summarizes a random sample of 80 students. | | Female | Male | | :--- | :---: | :---: | | No sport | 12 | 15 | | Sport | 36 | 17 | Let sport be the event that a randomly chosen student (from the table) plays a sport. Let female be the event that a randomly chosen student (from the table) is female. Find the following probabilities. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) P(female) = (b) P(sport and female) = (c) P(sport | female) =
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A local high school has both male and female students. Each student either plays a sport or doesn't. The two-way table summarizes a random sample of 80 students. Female Male No sport 12 15 Sport 36 17 Let "sport" be the event that a randomly chosen student (from the table) plays a sport. Let "female" be the event that a randomly chosen student (from the table) is female. Find the following probabilities. Write your answers as decimals (If necessary, consult a list of formulas). (a) P(female) (b) P(sport and female) (c) P(sport | female)
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A given sample includes Football (F), Basketball (B), and Handball (H) Players. The probability of being a football player given male is 0.44 and the probability of being a basketball player given male is 0.38. The probability of being a Handball player given female is 0.32, and the probability of being a football player given female is 0.22. Given that the probability of being female is 0.45, and the events are M.E. and C.E., Find: a- Probability of a basketball player. b- Probability of being a football or handball player. c- Probability of male given he is a football player.
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