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# for all b m n are natural the sets a where n is an integer such that n is congruent to

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ll marks, and for question 3 b I want to know how to write a perfect summary.
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considering placing an order for 300 of each design. The Sales Manager and Chief Buyer negotiate the contract. Student A. You are the Sales Manager for the Spanish briefcase manufacturer. You want the retailer to agree the following: Delivery time: Four weeks after receiving order Place of delivery: The retailer's main warehouses in Zurich and Geneva Price: Top-of-the range briefcase: €550 Medium-priced briefcase: €320 Colours: Black and brown Payment: By bank transfer when goods have been dispatched Discount: 4% for orders over 100 Returns: Medium-priced briefcases (easier to resell) Student B You are the Chief Buyer for the Swiss retailer. You want the manufacturer to agree to the following: Delivery time: Two weeks after receiving order Place of delivery: Individual retail outlets (16 around the country) Price: Top-of-the-range briefcase: €500 Medium-priced briefcase: €270 Colours: Black, brown, maroon, pink Payment: Two months after delivery Discount: 10% for orders over 200 Returns: All unsold briefcases returnable up to one year after order
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subgame perfect Nash equilibrium? Question 3: In which situations should we need the mixed extension of a game? Question 4: Find, if any, all Nash equilibria of the following famous matrix game: L R U (2,0) (3,3) D (3,4) (1,2) Question 5: What is the difference between a separating equilibrium and a pooling equilibrium in Bayesian games? Question 6: Give another name for, if it exists, the intersection of the players’ best-response « functions » in a game? Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation with: No Nash equilibrium One sub-optimal Nash equilibrium One sub-optimal dominant profile No dominant profile Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies: True False Question 9: All games have at least one pure strategy Nash equilibrium: True False Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash equilibrium of all of its subgames: Tr 2/2 Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure Nash equilibrium payoffs: True False Question 12: Which of the following statements about dominant/dominated strategies is/are true? I. A dominant strategy dominates a dominated strategy in 2x2 games. II. A dominated strategy must be dominated by a dominant strategy in all games. III. A profile of dominant strategies must be a pure strategy Nash equilibrium. IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games. I, II and IV only I, II and III only II and III only I and IV only I, III and IV only I and II only Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash equilibrium: True False Question 14: Consider the following 2x2 matrix game: L R U (3,2) (2,4) D (-1,4) (4,3) The number of pure and mixed Nash equilibria in the above game is: 0 1 2 3 Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M) prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of this treatment. In case of compliance, controlled by an authority in charge of health services quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of life. Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game. Question 16: Find, if any, the profile(s) of dominant strategies of this game. Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game. Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game. Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash equilibrium/equilibria (=
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de by credit card; you think this is true at your store as well. On a typical day you make 20 sales. Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment. Define the random variable x in this scenario, using the context of the problem. List all possible values of x for this situation. On one trial for this scenario, what does “success” mean? Explain using the words of the problem. What is the probability of success in this scenario? What is the probability of failure in this scenario? Probability Distribution Instructions¬¬¬¬ In Excel, create a probability distribution for this scenario. Label Column A as “x” and Column B as “P(x).” In Column A, list the numbers 0 to 15. In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value. Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places. Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.
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and B where m is an integer such that m is congruent to 1 modulo b have the same cardinality. I need help with the process of finding a function to define the two sets to determine the bijection.
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-1 and c = 4. So quadratic function is y = 2x^2 - x + 4. Next question is: suppose that the 3rd point is written as (3, t). Find all values for t that will change the quadratic function y =ax^2 + bx + c into a linear function.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics