Question

22. Alarge unversity was charged with sexual bias in admiting students to graduate school. Admissions were by departments, and the figures are as shown in the accompanying table (a) Compute the percentages of men and women applicants the admited by the school as a whole (b) Do the figures in part (a) suggest that sexual bias affected the admission of students? (c) Compute the percentages of men and women applicants admited by each department (d) Do the figures in part (c) suggest that sexual bias affected admission to the various departments? Men Women DepartmentNumber of Applicants Nomber Admitted Number of Applicants Number Admitted 1 373 22 353 120 53 138 512 1198 24 341 25 593 560 325 17 202 4 191 417 825 2691 94 393 375 108 1835 131 89 Totals 557 24. A TV ad proclaims that a study shows that eight out of ten dentists surveyed prefer Whito Toothpaste How could it possibly make such a claim it, in fact, only one dentst out of ten actually prefers Whito? 26. In the shoe business, which average of foot sizes is most important-the mean, median, or mode? 2. Describe the sample space for each of these experiments (a) A coin is tossed and a single die is rolled (b) A paper cup is tossed into the air and lands on the floor. (c) A card is drawn from an ordinary deck of 52 playing cards. 4. Determine the probability of obtaining a total score of 3 or 4 on a single throw of two dice ? 6. Acme Auto Rental has three red Fords, four white Fords, and two black Fords Acme also has sia red Hondas, two white Hondas, and five black Hondas. If a car is selected at random for rental to a customer, (a) what is the probability that it is a white Ford? (b) what is the probability that it is a Ford? (c) what is the probability that it is white? (d) what is the probability that it is white given that the customer demands a Ford? 8. Mrs. Ricco has seven brown-eyed and two blue-eyed brunettes in her fifth-grade class. She also has eight blue- eyed and three brown-eyed blondes A child is selected at random (a) What is the probability that the child is a brown-eyed brunette? (b) What is the probability that the child has brown eyes or is a brunette? (c) What is the probability that the child has brown eyes given that he or she is a brunette?

Answer 1

20 Slotal Men applicants . 2691 Slotal Men Adtmitted : 1198 Stotal women applicants - 1835 Flotal wrimen admitled : 557 .: % of men • 1198 x 198+55+ 68-3% 1. J alomun : 557 : 31-7:/ 1199+557 30-34 But 1975 106 stop % of women 7. of men opp admitted to apply . . . 1.98: 44.54. (b) of we look at the percentage of mind women we Cunnot say that there was a partiality as the reason behind less percentage of women can be because of less applicants. But the when we compute the percentage of women applied & got admitted we see a significant preference for min where 44.57 of the men are chosen é only 30.37 of the women are chosen among who applied. But still this can occur for many other creason than being gender bias. Depart ment . Men % Women 7. 28.5.8%.. '7.0% 63.01 Y. 681 anrw w 36.94 27.74 33-2-. 34.087. 23.97. 34.99. 62.01%. 82.44.

(d) We can see less the percentages that more or : does not differ significantly to say that sexual orientan bireren const. at so that production the mean is d impartent as we are inderuddin which she il being of that she can be maximized, 2 6) . } #,7% # won dorseid Sample spau. . : Set 1, 2, 3, 9, s, 61 #die tolled, . . Come doyd ( die tolled A si {1H, 2H, 3H, 44,5M, CH, 17, 25,31,51,59 0 So į T, 8,5} 19 Landed as id landed on top londed on battono .. c) i 8=:{1,.. $2} stings All sz. cards. L

(4) d,+ d, -3 possibilitas . .(,2), (2,1). probability of getting 2 di+la : 4 possibilitia a 1,3), i), @,2) Prob. of getting 3 aru = 2 eu 6) () 3RF,4WF; 2 BF, % RH, 2 W14,58 planseta WF) = win the costs . . . 3+ 4+2+6475 (9) e() 34782 con elw = GM Bus id plW1F) - Cy). 3+ 4+2

. 7 bown-eyed brunettes 2 berblue-eged " . 395 brown -eyed blonde 8 blue-eyed blonde 03. . P (brown eyed bourette) - 97 zizta 2 (hand), el brown eyes or boerette) - 7+2+ 3 20 . : (a . P ( brown eyes brunetter), p brown eyes n brings . ; p brinette) Cory).