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Find the value of the game given the payoff matrix below and the optimal mixing strategies of both players.
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- 2. Give an example of a 2-player, zero-sum game with the following properties (by giving its payoff matrix from the perspective of the row player): • The row player has strategy set {1, 2} and the column player has strategy set {C1, C2} • The security levels of r₁, r2, C1, and c₂ are respectively −1, −2, 4, and 3.The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?Please don't provide handwritten solution ....
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- Question The craft vendors in Grand Anse, St. George's, Grenada are to be relocated into one large mega-craft market that can hold the majority of vendors. The idea is that the several locations are too dispersed and cause friction when cruise ship visitors and all-inclusive guests are to be entertained. There is a great deal of controversy about the optimal location. The Minister of Tourism commissioned a study and four competing locations were examined. The data in the payoff table shows the possible value of revenue ($000) to the different locations per week under three scenarios. Future Growth Conditions Mall Site Stable Moderate High 1 2,500 2,500 2,510 2 2,430 2,510 2,710 3 1,140 2,100 3,200 4 1,460 2,180 3,050 Which site would be selected if the decision makers used the: (a) LaPlace criterion? (b) Maximin criterion? (c) Maximax criterion?Subject: Discrete Structures Question: You plan to invade Taiwan but Taiwan has a defense army. 50% of the army will be defended when you attack via infantry. But normally the Taiwan army defense is at 40%. You usually attack by sending your infantry at 10%. What are the Taiwan's army's chancesPreventing heart attacks: Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6728 patients were given clopidogrel, and 6678 were given ticagrelor. Of the clopidogrel patients, 573 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 672 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let p₁ denote the proportion of patients suffering a heart attack or stroke with clopidogrel and p2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the a= 0.05 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 State the null and alternate hypotheses. Ho: H₁ : This hypothesis test is a (Choose one) ▼ test. O
