Question

1. In a Student Activity Participation Study (SAPS) survey, 30 engineering majors, 25 business majors, 20 science majors, 15 liberal arts majors, and 10 human development majors were selected. Thirteen of the engineering, 10 of the science, 9 of the human development, 7 of the business, and 6 of the liberal arts majors selected for the study were female. (Enter your probabilities as fractions.) (a) What is the probability of selecting a female if one person from this group is selected randomly? (b) What is the probability that a student selected randomly from this group is a science major, given that she is female?

2. A survey questioned 1000 people regarding raising the legal drinking age from 18 to 21. Of the 560 who favored raising the age, 320 were female. Of the 440 opposition responses, 150 were female. If a person selected at random from this group is a man, what is the probability that the person favors raising the drinking age? (Enter your probability as a fraction.)

3.A survey questioned 1000 people regarding raising the legal drinking age from 18 to 21. Of the 590 who favored raising the age, 380 were female. Of the 410 who expressed opposition, 140 were female. (Enter your probabilities as fractions.) (a) What is the probability that a person selected at random is a female? (b) What is the probability that a person selected at random favors raising the age if the person is a woman?

Answer 1