Answered: Consider the game in Figure 6.1. What…

Consider the game in Figure 6.1. What is the success rate of the offense if the defense adopts its optimal mixing rule? Offense Pass Run Defense Pass (1, 0) (0, 1) Run (0, 1) (1, 0)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 44P: You now have 5000. You will toss a fair coin four times. Before each toss you can bet any amount of...

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There are four hotels competing with otherwise very similar products on the dimensionsof price ($ per night) and amenities (measured by the number of *s awarded by customer reviews).Hotel A: price = $200 per night; rating: ***Hotel B: price = $150 per night; rating: ****Hotel C: price = $300 per night; rating *****Hotel D: price = $80 per night; rating **Which of these hotels are on the efficient frontier? You may select more than one answer.
Topic: ProbabilityGoal: In your business planning, you will employ mathematics probability to increase your chances of success.You play the role of a tiny business owner who wants to expand into a much larger enterprise. You must write a written report and deliver it to the group on the most likely outcome(s) of the business you wish to start.The target audience is a group of small company owners who could be interested in partnering with you. Product: A written report on the business's likely results that will be given to the group. Success Criteria: The written report that will be provided must be... - Represents genuine business problems or patterns. - Persuasive, based on probability mathematics.
In contract negotiations between a local government agency and its workers, it is estimated that there is a 50% chance that an agreement will be reached on the salaries of the workers. It is estimated that there is a 70% chance that there will be an agreement on the insurance benefits. There is a 20% chance that no agreement will be reached on either issue. Are the agreement on salaries (S) and the agreement on insurance (I) independent events? O not independent because P(S) P(I) # P(S and I) O independent because P(S) P(I) = P(S and I) %3D Oindependent because P(S) P(I) P(S and !)
Suppose that each engine can be inspected before theflight. After inspection, each engine is labeled as being ineither good or bad condition. You are given thatP(inspection says engine is in good condition | engine willfail) .001P(inspection says engine is in bad condition | engine willfail) .999P(inspection says engine is in good condition | engine willnot fail) .995 P(inspection says engine is in bad condition | engine willnot fail) .005 a If the inspection indicates the engine is in bad con-dition, what is the probability that the engine will fail on the flight?b If an inspector randomly inspects an engine (that is,with probability .001 she chooses an engine that is aboutto fail, and with probability .999 she chooses an enginethat is not about to fail), what is the probability that shewill make an error in her evaluation of the engine?
10 Investors will be indifferent between two investments if both investments have the same expected return. Select one: True False
In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the house then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies: Keep tossing until your total is 3 or more. Keep tossing until your total is 4 or more. Keep tossing until your total is 5 or more. Keep tossing until your total is 6 or more. Keep tossing until your total is 7 or more. For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go: You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house. You toss a 3 and then a 6. You lose. You toss a 6 and stop. The house tosses a 3 and then a 2. You win. You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win. Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?
A standard normal table, also called the unit normal table or Z table, may be a mathematical table for the values of Φ, which are the values of the cumulative distribution function of the traditional distribution. Step 2 confidence intervals Z 90 1.645 95 1.96 96 2.05 97 2.17 98 2.326 99 2.576 a)How do calculate Z-score using the confidence interval? My lecturer had the z-score of 95% = 1.645
Is my solution correct and did I fully answer the questions? (see attachment for my solution) Question: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1,500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $2,500 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $3,000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.50 ton. The state wants to reduce the amount of P1 in the river by at least 125 tons and the amount of P2 by at least 175 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Are the LP assumptions…
Answer A.2 a-e a-c is in the picture here is d and e d) What is the qually likely decision? e) Develop a decision tree. Assume each outcome is equally likely, then find the highest EMV.
4. "Family Man," a construction company, is considering whether to bid on a contract for a new housing complex. The cost of preparing a bid USD 200,000. “Family Man" has a 0.8 probability of winning the contract, if it submits the bid. If "Family Man" wins the bid, it has to pay USD 2000,000 to be a project partner of the project. As per the usual practice, "Family Man" will then consider consulting a market research firm "Marquess" to conduct a market survey to forecast the demand of housing complex before beginning the construction. "Marquess" charges a fee of USD 150,000. Now, the demand scenario can be either "High demand" or "Low demand." "Family Man" gets a revenue of USD 5000,000 and USD 3000,000 in case of "High demand" and "Low demand" scenario, respectively. On the other hand, instead of construction, "Family Man" has a provision of selling its project rights to another project partner construction company at the price USD 3500,000. As per the historical data, "Marquess"…