The theater society members are voting for the kind ofplay they will perform next semester; a comedy (C), adrama (D), or a musical (M). Their votes aresummarized in the following preference table. Whichtype of play is selected using the pairwise comparisonmethod?Number of Votes141010811First ChoiceMDCDMSecond ChoiceCMCMDThird ChoiceDDMMCdramamusicalcomedyTie between musical and drama

comparison between M and C M C 14 10 10 8 1 1 total - 16 28 C wins…

Answered: The theater society members are voting…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a) List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b) Calculate P(not A)(c) Calculate P(B and D)(d) Calculate P(B or C) (maria,susan and holly are female/women and john and will are male)
Math: Methods of Voting The members of campus club are having a cleanup drive. There are three departments who will participate the activity: BSAB, BSPA, and BSCD. The members are asked to rank these choices in order of preference ,and the results are summarized in the following preference table: Number of Ballots cast 15 10 12 21 1st Choice BSPA BSCD BSCD BSAB 2nd Choice BSAB BSPA BSAB BSPA 3rd Choice BSCD BSAB BSPA BSCD a. How many votes were cast? b. Use the plurality method to determine the winner. c. What percent of the votes did the winner in letter (b) receive? d. Use the majority method to determine the winner. e. What percent of votes did the winner in letter (d) receive? f. Use Borda Count method to determine the winner. g. How many points did the winner in letter (f) receive?
a) select one Drama Comedy News Documentary Sports Other
Solve the problem. 6) A condominium association is holding an election for president of the board of directors. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Abbott (A), Blake (B), Cleary (C), and Downs (D). Number of Votes 3 6 5 8 7 4 6 6 4 First ABAACBDC C Second CABCDDBBA B C C DAA ADD DDDB B CCAB Third Fourth If the plurality method if used to determine the winner and Downs drops out, is the irrelevant alternatives criterion satisfied?
Use the Bucklin voting method to determine the winner and compare it to the plurality method. Who wins the Bucklin vote and the single candidate vote? There are 7 voters and the candidates need 4 votes to win. There are 5 candidates for the house of representatives and you have to rank them by preference. Voters A B D E F G Emilio | Hannah Richard Melissa Howard Howard Emilio Howard 1st 2nd Howard Hannah Emilio Emilio Richard Melissa 3rd Melissa Emilio Melissa Richard Richard Hannah Richard 4th Hannah Richard Emilio Howard Hannah Emilio Howard 5th Richard Melissa Howard Hannah Melissa Melissa Hannah a Bucklin method: Howard wins with 5, Plurality: There is no winner b Bucklin method: Melissa wins with 4, Plurality: There is no winner Bucklin method: Richard wins with 4, Plurality: There is no winner d. Bucklin method: Emilio wins with 5, Plurality: There is no winner O000
Consider the scenario of three candidates, A, B, and C, who are running for president of the student council. Determine the winner using the Borda count method. Number of Votes 50 65 60 First Choice ACC Second Choice BBA Third Choice CAB The winner is The winner received points.
The Mathematics For All Club is having an election for a president. The candidates are Amber-A, Bill-B and Jeniere-J. Each of the members is asked to submit a preference ballot. Here is the result: (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 %3D Question 1 How many members of the Mathematics for All Club submitted their ballots? (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 %3D
Four puppies, Bruno, Kitty, O'Reilly, and Sweetie, competed in the Annual Puppies of the World Fair. Prizes were awarded for the top three competitors as follows: first place received a Red Ribbon, second place received a Yellow Ribbon, and third place received a Blue Ribbon. Three members of the audience predicted how the prizes would be awarded. • Lucie predicted that Sweetie would win a Red Ribbon, Kitty would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Jenn predicted that Bruno would win a Red Ribbon, Sweetie would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Brenton predicted that Kitty would win a Red Ribbon, Bruno would win a Yellow Ribbon, and Sweetie would win a Blue Ribbon. It turns out that each audience member predicted exactly one prize winner correctly. Determine which dog won which prize.

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