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fall2004_part 2 - MAT 221 Final Exam Ver A 5 PART 2...

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Unformatted text preview: MAT 221 Final Exam Ver. A 5 PART 2: Chapters 3 & 4 Problem 4. {12 points) (i) A research team is interested in the possibility that drug .4 or drug 3 will decrease the number of colds in adult males. They E plan a year long study involving 31,596 male physicians. Each will take a drug A tablet or placebo each day and a drug B tablet or a placebo each day. (a) Who are the subjects? 0 ' . . Jlsalb male, PWOM . (b) List the treatment(s): in? A- " Plus—(obi) Moi . ' atflga {3 o» put/L66 “(JA— W (c) ll’hat is{are) the response variable(s)? Nah. + LOUS Ln MARI. Mutton/ls (ii) We wish to take a sample of MAT 221 students. For each of the following sampling options, circle the correct description of the sampling technique (a) Randomly select 4 sections and randomly select 8 students from each of these sections. Circle one: Simple Random Sample Multistage sample tmtzfied random sample None of these (1)) ll’rite the names of all student from all sections on slips of paper and randomly select 32. Circle one: Multistage sample Stratified random sample None of these (c) Select all of the students from section 1. Circle one.- Simple Random Sample Multistage sample Stratified random sample None of these 6 MAT 221 Final Exam Ver. A Problem 5. {.9 points) Let A, B, C, D, E and F denote events in a probability space. (i) Given that PM) = .45, PH?) -—- .6 and PM and B) = .15, compute ' . (a) P(A or B) = RAMRQ ~PCA "8): .4E+-‘=" "‘53 -9 pgAna)_.I5 ‘4 “9(3) ' (1:) 1°04wa Q, («2) PW) = i- M) ... [—45 2.55“ (ii) Given that P(C) = .45, P(D) = .6 and that events C and D are independent and compute (a) P(C and D) ='P(c)-_ Ptofiifi431.a)r- .751- (b) mole) = 71%): 4%}: .9 (c) P(C or D) ='D(c)+ PLU)-PL(.OD')= 549+ .L- .13: :18; (iii) Consider the Mann diagram below. (a) Shade in the area that mpreo'enrs PH: and FC). (b) Given PU?) = .45, Pu“) = .75 and P(E and F“) = .15, fill the probabilities in each of the remaining thine areas of the Venn diagram. 'PQE nr»)='P(e)—"PCE m2"): _45— .16: .2, ©@ u :3): lP'P(EU =3= ‘\ *LPLEM REX-Ran a): =1..[-_.45+.m5 45:]: \_ a; .1 MAT 221 Final Exam Ver‘ A Problem 6. (12 points) ~ (i) A jar contains 8 $1 bills and 2 $5 bills. You take two bills from the jar, one at a time without returning them. (a) Construct a tree diagram for this process and label the branches of the tree with appropriate probabilities. $033263 24-): .91 Wham f: 2~J= .36 (b) Let X be the random variable that takes on the dollar amounts that you can win and fill in the following table: X 32 $6 $10 p_ .ca .39 .01 (ii) Consider the random mriable (a) Compute the mean of this random rariablc: Fig IA (-21) + 35%) “10611)? B 4.85"} (b) Compute the standand deviation of this random variable: a; : (( 1424.)”? +05 q.sc.)‘- % +0054»?- 14 1 5. (8 ...
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