A college has an undergraduate enrollment of 3500. Of these, 860 are business majors and 1800 are women. Of the business majors, 425 are women.
8) Are the events “selecting a woman student” and “selecting a business major” mutually exclusive? Explain
9) If a college newspaper conducts a poll and selects students at random to answer a survey, find the probability that a selected student is a woman or a business major
8) No, the events “selecting a woman student” and “selecting a business major” are not mutually exclusive. This is because 425 of the 860 business majors are women, meaning that there is overlap between the two events.
9) The probability that a selected student is a woman or a business major is 0.717. This can be calculated by adding the probability of selecting a woman (1800/3500) and the probability of selecting a business major (860/3500) and subtracting the probability of selecting a woman business major (425/3500).
Hmmm.
P(man & ~busmaj) = 435/1700
so P(woman & busmaj) = 1 - 435/1700 = 0.744