Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 11, Problem 54RE
To determine
The optimum strategy for David and the value of the game.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
If a salesperson has gross sales of over $600,000 in a year, then he or she is eligible to play the company's bonus game: A black box contains 3 one-dollar bills, 1 five-dollar bill and 1 twenty-dollar bill. Bills are drawn out of the box one at a time without replacement until a
twenty-dollar bill is drawn. Then the game stops. The salesperson's bonus is 1,000 times the value of the bills drawn. Complete parts (A) through (C) below.
(A) What is the probability of winning a $23,000 bonus?
(Type a decimal or a fraction. Simplify your answer.)
C
If a salesperson has gross sales of over $600,000 in a year, then he or she is eligible to play the company's bonus game: A
black box contains 2 one-dollar bills, 1 five-dollar bill and 1 twenty-dollar bill. Bills are drawn out of the box one at a time
without replacement until a twenty-dollar bill is drawn. Then the game stops. The salesperson's bonus is 1,000 times the
value of the bills drawn. Complete parts (A) through (C) below.
(A) What is the probability of winning a $20,000 bonus?
(Type a decimal or a fraction. Simplify your answer.)
(B) What is the probability of winning the maximum bonus by drawing out all the bills from the box?
Type a decimal or a fraction. Simplify your answer.)
(C) What is the probability of the game stopping at the third draw?
Type a decimal or a fraction Simplify your answer.)
Brandon Mackinnon is considering 3 investment options for his $10,000 savings from working as a professor at Algoma University. He has three different stocks which he can invest his money, Tesla, CIBC & Walmart. He wishes to invest his savings for one year, after which he will use his money to buy a Car. His return after one year will depend on the performance of the economy, which can be strong, average or weak. The returns for each possible combination are shown in the table below.
PAYOFFS
Alternatives
Tesla
CIBC
Walmart
Below are the Outcomes
Strong
Economy
$1.200
$700
$400
Average
Economy
$600
S400
S300
Weak
Economy
-$1,000
S100
S200
Assume Brandon will choose only one stock for each question below.
A. Which stock should Brandon invest his money in if he uses the Maximax Criterion?
B. Which stock should Brandon invest his money in if he uses the Maximin Criterion?
C. Which stock should Brandon invest his money in if he uses the Equally Likely Criterion?
D. Which stock…
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- There are two players who simultaneously call out one of the numbers oneor two. Player I’s name is James; he wins if the sum of the numbers is odd. Player II’s name is Louis; she wins if the sum of the numbers is even. The amount paid to the winner by the loser is always the sum of the numbers in pesos. Find the table for the payoff function P, and analyze the game to find the value and optimal strategies of the players. Is the game fair?arrow_forwardThe inventor of a new game believes that the variable cost of producing the game is $1.95 per unit, and the fixed costs for a month are $8000. He sells the game to retailers for $5.00 each. Give the net profit or loss if the inventor makes and sells 150,000 games in a month. IF LOSS, enter NEGATIVE amount.arrow_forwardAn investment manager has a dilemma of how to invest K10 000 000. He could either invest in stocks, bonds, certificates of deposit (CD) or a mixture of the three. The economy could be stagnant 25%, slow growth 45% and rapid growth 30%. For the stagnant economy –K500 000, -K100 000, K300 000 and –K200 000 would be the payoffs for the different investments For the slow growth economy K700 000, K600 000, K500 000 and K650 000 would be the payoffs for the different investments For the rapid growth economy K2200 000, K900 000, K750 000 and K1300 000 would be the payoffs for the different investments. Required: Compute the expected monetary value (EMV).arrow_forward
- Roland's Barber Shop and Charley's Barber Shop are both located in the business district of a certain town. Roland estimates that if he raises the price of a haircut by $1, he will increase his market share by 6% if Charley raises his price by the same amount; he will decrease his market share by 1% if Charley holds his price at the same level; and he will decrease his market share by 4% if Charley lowers his price by $1. If Roland keeps his price the same, he will increase his market share by 5% if Charley raises his price by $1; he will keep the same market share if Charley holds the price at the same level; and he will decrease his market share by 2% if Charley lowers his price by $1. Finally, if Roland lowers the price he charges by $1, his market share will increase by 6% if Charley raises his prices by the same amount; he will increase his market share by 4% if Charley holds his price at the same level; and he will increase his market share by 2% if Charley lowers his price by…arrow_forwardRoland's Barber Shop and Charley's Barber Shop are both located in the business district of a certain town. Roland estimates that if he raises the price of a haircut by $1, he will increase his market share by 6% if Charley raises his price by the same amount; he will decrease his market share by 1% if Charley holds his price at the same level; and he will decrease his market share by 2% if Charley lowers his price by $1. If Roland keeps his price the same, he will increase his market share by 4% if Charley raises his price by $1; he will keep the same market share if Charley holds the price at the same level; and he will decrease his market share by 3% if Charley lowers his price by $1. Finally, if Roland lowers the price he charges by $1, his market share will increase by 5% if Charley raises his prices by the same amount; he will increase his market share by 3% if Charley holds his price at the same level; and he will increase his market share by 2% if Charley lowers his price by…arrow_forwardYour hard work building the fancy fire pit you saw on Pinterest has really paid off! Now every weekend evening in the summer your neighbors and their kids come over to enjoy conversation, games, and cool beverages with you and your family. One especially cunning parent has managed to convince the neighborhood children to put down their tablets and phones and play by catching (and sometimes releasing) fireflies. You make a game out of it by seeing how many they can catch every 15 minutes. Throughout the course of a long evening, you collect the data below, which shows how many fireflies the kids catch every 15 minutes. Assuming this data comes from a normally distributed population – can you conclude that the average number of fireflies caught after 10 pm was greater than the average caught before 10 pm? Use = 0.05. Before 10pm After 10pm 6 15 8 12 12 9 9 14 8 10 13 12 11 8 10 10 What type of hypothesis test is required here? 2 population Z…arrow_forward
- Jo, a store owner, has an option of selling hot drinks or halu-halo during a championship game. The profits will depend on weather conditions. On a clear day, the profits will be P 1,500 and P9,000 on a rainy day if she sells hot drinks. If she sells halu-halo, her profits will be P 10,000 on a clear day and P5,000 an a rainy day. It was learned that during the time of the year 65% of the days are clear and 35%) are rainy. What type of refreshments should the owner sell? Make a decision tree and state your decision.arrow_forwardThe table below states the payoffs in profits (of millions of tenge each day) to two grocery supermarkets that are rivals in Almaty, Blue Foods and Ladymart. Each supermarket can take one of two courses: Low prices; or high prices. In each cell, the first payoff is for Blue Foods, and the second payoff is for Ladymart. (a) Assume that neither store observes the pricing by the other store, and solve the game (if it can be solved). Explain your solution step-by-step. Does this outcome maximize total profits to the two stores? (b) Now assume that each store can observe the pricing by the other store, and solve the game. Blue Food, Ladymart High prices Low prices High prices 2, 2 0, 3 Low prices 3, 0 1,1arrow_forward. The table below states the payoffs in political points (measured in billions of rubles) to two nations that are rivals in world politics, Russia and Ukraine. Each country can take one of two courses: peace; or war. In each cell, the first payoff is for Russia, and the second payoff is for Ukraine. (a) Assume that neither country observes the military strategy of its rival, and solve the game (if it can be solved). Explain your solution step-by-step. Does this outcome maximize total political points? (b) In general, what is a Nash equilibrium? Is the solution to this game a Nash equilibrium? (c) Suppose that each country deposits a fund of two billion rubles with the United Nations. Either country would forfeit this fund if it wages war. What is the solution now to the game? Is this a Nash equilibrium? Russia, Ukraine Peace War Peace 4,4 1, 5 War 5, 1 2,2arrow_forward
- An insurance agency services many customers who have purchased both a homeowner’s policy and a car policy from the agency. For each type of policy, a deductible amount must be specified. For a car policy, the choices are $0, $50, and $100, and 25%, 25%, and 50% of customers have these deductibles respectively. It means P(X=$0) = 0.25, etc. For a homeowner’s policy, the choices are 0, $200, and $500 and 30%, 30%, and 40% of customers have these deductibles respectively. It means P(Y=$0) = 0.3, etc. Suppose an individual with both types of policy is selected at random from the agency’s files. Let X = the deductible amount on the car policy and Y = the deductible amount on the homeowner’s policy. Assume X and Y are independent. a. Find the joint probability mass function of X and Y (write it as a table). b. Find median car insurance policy deductible. c. Find average homeowner’s policy deductible.arrow_forwardA waterpark has a profit of $22,000 on sunny days, a profit of $11,500 on overcast days, but a loss of $4,000 on rainy days. For the month of June, the weather is predicted to be 62% sunny, 23% overcast, and 15% rainy. Find the expected daily profit for the waterpark in June.arrow_forwardA ticket between Corellia and Dantooine (located in a galaxy far far away) sells for $150. The plane can hold 100 people. It costs $8000 to fly an empty plane. Each person on the plane incurs variable costs of $30 (for food and fuel). If the flight is overbooked, anyone who cannot get a seat receives $300 in compensation. On average, 95% of all people who have a reservation show up for the flight. To maximize profit, how many reservations for the flight should you book? Hint: You can assume that the number of people that show up for a flight follows a binomial random variable.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY