Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 11.1, Problem 12E
To determine
The dominated rows and column to find resultant.
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In Section 5.5 we showed the following two-person, zero-sum game had a mixed strategy: Player B b1 b2 b3 a1 0 -1 2 Player A a2 5 4 -3 a3 2 3 -4
a. Which strategies are dominated? a1, a2, a3, b1, b2, b3 b. Does the game have a pure or mixed strategy?
Suppose 51 percent of the customers at Pizza Palooza order a square pizza, 73 percent order a soft drink, and 47 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza?
Yes
No
When random samples are drawn so that the selection of a case for one sample has no effect on the selection of cases for another sample, the samples are
A. Dependent
B. Independent
C. Simple
D. Systemo
Chapter 11 Solutions
Finite Mathematics (11th Edition)
Ch. 11.1 - In the following game, decide on the payoff when...Ch. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - In the following game, decide on the payoff when...Ch. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Does it have a saddle point?Ch. 11.1 - Prob. 9ECh. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - APPLY IT Football When a football team has the...Ch. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Children's Game In the children's game rock,...Ch. 11.2 - Suppose a game has payoff matrix [ 3452 ]. Suppose...Ch. 11.2 - Suppose a game has payoff matrix [ 041324110 ]....Ch. 11.2 - Find the optimum strategies for player A and...Ch. 11.2 - Find the optimum strategies for player A and...Ch. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - A reader wrote to the "Ask Marilyn" column in...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Choosing Medication The number of cases of African...Ch. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - 37. Golf In a simplified variation of the Ryder...Ch. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Finger Game Repeal Exercise 40 if each player may...Ch. 11.3 - Use the graphical method to find the optimum...Ch. 11.3 - Prob. 2ECh. 11.3 - Use the graphical method to find the optimum...Ch. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Use the simplex method to find the optimum...Ch. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - In Exercises 1327, use the graphical method when...Ch. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - In Exercises 1327, use the graphical method when...Ch. 11.3 - In Exercises 13–27, use the graphical method when...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11 - 1. Since they like to eat out, each prefers a...Ch. 11 - If Linda likes French food more than Mel likes...Ch. 11 - Prob. 3EACh. 11 - 4. Suppose Linda knows that Mel is going to stick...Ch. 11 - Prob. 5EACh. 11 - Prob. 6EACh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - 11. How can you determine from the payoff matrix...Ch. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - For the following games, find the strategies...Ch. 11 - Prob. 27RECh. 11 - For the following games, find the strategies...Ch. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - For each game, remove any dominated strategies,...Ch. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Labor Relations In labor-management relations,...Ch. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Politics Mary Wilkinson, a candidate for city...Ch. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Newcomb's Paradox Suppose there are two boxes, A...
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- In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts c) through d) below.arrow_forwardSuppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Mutiple Choice:a. No b. Yesarrow_forwardConsider a two-player game that is set up with two piles of stones. The two players are taking turns removing stones from one of the two piles. In each turn, a player must choose a pile and remove one stone or two stones from it. The player who removes the last stone (making both piles empty) wins the game. Show that if the two piles contain the same number n ∈ Z+ of stones initially, then the second player can always guarantee a win.arrow_forward
- The following table shows the number of registered voters in three different regions and the political party in which they are registered. Republican Democrat Independent Total Region A 100 100 50 250 Region B 75 65 25 165 Region C 200 300 100 600 Total 375 465 175 1,015 Which of the following statements is supported by the table? The region with the greatest proportion of voters who are registered Democrat is region A. The region with the greatest proportion of voters who are registered Democrat is region A. A The region with the least proportion of voters who are registered Republican is region A. The region with the least proportion of voters who are registered Republican is region A. B The region with the greatest proportion of voters who are registered Republican is region B. The region with the greatest proportion of voters who are registered Republican is region B. C The proportion of voters who are registered Independent in…arrow_forwardChapter 7, Section 2, Exercise 035 Give the degrees of freedom for the chi-square test based on the two-way table. Yes No Total Group 1 56 44 100 Group 2 132 68 200 Group 3 72 28 100 Total 260 140 400 Degrees of freedom=arrow_forwardConsider a symmetric game with 10 players. Each player chooses among three strategies: x, y, and z. Let nx denote the number of players who choose x, ny denote the number of players who choose y, and nz denote the number of players who choose z. (So, nz = 10−nx−ny.) The payoff to a player from choosing strategy x is 10−nx (note that nx includes this player as well), strategy y is 13−2ny (again ny includes this player as well), and strategy z is 3. (a) Show that a Nash equilibrium must have at least one person choosing x and at least one person choosing y. (Hint: In a Nash equilibrium, no player can do better by doing something different.) b) Find all Nash equilibria.arrow_forward
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