Question

Week 3-Lab A Stat 100A (4.11, p. 131-132, 14th edition) Three people are randomly selected from voter driving records to report for jury duty. The gender of each person is noted by the county clerk. Use W-woman and M man. registration and a. Identify the sample space, S. (2pts) W womn M men b. If each person is just as likely to be a man as a woman, what probability should be assigned to each outcome in S? (2pts) For the following parts, define the event (list the outcomes of the event) and find the probability of the event occurring: A: all three (2pts) c. are women d. B: none of the three are women (2pts) 9 e. C: only one of the three is a man (2pts) f D: noneof the three are men (2pts) &E: there is at least one man in the selection of three people (2pts)

Answer 1

as Sample space =People 1, Peaple 2, Peaple 32 pddelected because Thaee peaple arse thely to be a man bi each persan in just as as a Women sample sum of probability Sample is 1. k P(Man) P(uomen) P(each Peaple in the of all people in thi because A:all 3 ae Women event A = omen women wlomecn Ewww CA ZA1 thoee Womun arse .PA)= n(A) of elements in an euent A 1D(A)= no PL)S t elenents in an Sample space ( d)s B = MMM3 :. P(B)= B None of the theee arse wlomw all thace are man .. n . e ceonly EwwM, of the th&ee is one a Man WMw, MWw n(e) 3 =2 n(c) =6 arre Mar= All 3 aae nlomen f)> DE nene of Hhe thoe D/D)-1 D=www E There is at least one of thore peope =SwwM, WMw, Mww, MMW, MWM, WMM, MMM Selezt in the man edllan .P/E)- DE