A computer consulting firm presently has bids out on three projects. Let A, = {awarded project i}, for i = 1, 2, 3, and suppose that P(A,) = P(A, N A.) = .11, P(A, N A;) = .05, P(A, N A,) = .07, P(A, N A, N A,) = .01. Express in words each of the fol- lowing events, and compute the probability of each event: a. A, U A2 b. A{N A; [Hint: (A¡ U A,)' = A¡ N A'] c. A, U A, U A3 e. A N A', N A3 3 .22, Р(А) 3 .25, Р(А,) %3 .28, d. A¡ N A', NA'3 f. (A' N A';) U A3
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- In a recent study, 50 males used a new weight-loss supplement, and all but 14 of them experienced weight loss after two weeks. In the same study, 100females used the same supplement, and all but 14 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.In a recent study, 50 males used a new weight-loss supplement, and all but 15 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 22 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.
- In a recent study, 25 males used a new weight-loss supplement, and all but 7 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 45 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was more effective on ▼(Choose one) in the study. That is because _% of them lost weight after two weeks, whereas only _% of the ▼(Choose one) lost weight after two weeks.In a recent study, 20 males used a new weight-loss supplement, and 14 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and 82 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was more effective on ▼(Choose one) in the study. That is because only % of them failed to lose weight after two weeks, whereas % of the ▼(Choose one) failed to lose weight after two weeks.The Department of Mathematics of a certain university in a recent survey was found to consist of 80 faculty members. The survey also revealed the information that among them, there are: 40 male professors; 38 married professors; 26 professors with more than 10 years of service; 15 married male professors; 14 married professors with more than 10 years of service; 13 male professors with more than 10 years of service; and 6 married male professors with more than 10 years of service. How many unmarried female professors have less than or equal to 10 years of service?