{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern