Given the following payoff matrix, find the optimal strategies for each player, find the expected value of the game, and state which player is favored (if any). Part 1 of 2 0 10 (a.) Show the maximin and minimax work (off to the right side/bottom). -3 -8 0 10 010✔ -8 O 10 (b.) Find the optimal strategy matrix for each player. Row Player Optimal Strategy: P= [ Column Player Optimal Strategy: Q- (c.) What is the expected value? (d.) Determine which player is favored (if any). Favored Player: --Select-- B
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- Answer the following questions based on the Strategy Region graph given below. When probability of high settlement is 12% and the probability of medium settlement is 40%, what is the optimal strategy? When probability of medium settlement is 20%, what is the highest probability of high settlement so that the Accept strategy to be optimal?Consider the following simple linear regression. iid Y = Po + B₁X + e, e~ N(0,02), i 1,..., n.Working at home: According to the U.S. Census Bureau, 32% of men who worked at home were college graduates. In a sample of 519 women who worked at home, 165 were college graduates. Answer the following.
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. 5 6 7 Day Store 1 Store 2 1 Difference (Store 1 - Store 2) Send data to calculator ✓ 2 3 786 878 827 645 708 500 699 140 Yes No 4 646 802 712 579 527 367 76 115 66 181 133 8 (a) State the null hypothesis H and the alternative hypothesis H₁. H:D H₁:0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) ▼ 970 9 10 11 12 618 679 762 635 271 572 324 215 698 530 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis…Either a mixed column or mixed row strategy is given. Use the given payoff matrix and find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix. Also determine the resulting expected payoff.depending The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day Store 1 Store 2 144Hz Difference (Store 1 - Store 2) Send data to calculator H :O 0 1 TT Explanation 233 116 Check 117 V 2 355 3 ننا 4 394 503 146 275 644 5 485 581 6 (a) State the null hypothesis Ho and the alternative hypothesis H₁. 0 784 505 727 209 119 -141 -96 57 O Search 7 428 N 00 8 853 723 9 205 366 77 130 - 161 10 Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μ (which is μ with a letter "d" subscript), the…
- On-Time Performance of Airlines. The Bureau of Transportation Statistics reports on-time performance for airlines at major U.S. airports. JetBlue, United, and US Airways share terminal C at Boston’s Logan Airport. Suppose that the percentage of on-time flights reported was 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the flights arriving at terminal C are JetBlue flights, 32% are United flights, and 38% are US Airways flights. Develop a joint probability table with three rows (the airlines) and two columns (on-time and late). Answer Let Given: Joint probabilities using the multiplication law With the marginal probabilities , , and given, the joint probability table can then be shown as follows. An announcement is made that Flight 1382 will be arriving at gate 20 of terminal C. What is the probability that Flight 1382 will arrive on time? Answer Using the joint probability table, the probability of an on-time flight is the marginal…The analysis of risk and the search for yield in companies is determinant for financial success. In this case, consider the stock price and dividends of the companies Power Electric Industries, Riviera Power Inc. and Nature Energy Corp. for the period from 2014 to 2019. Power Electric Industries Power Electric Industries Riviera Power Inc. Riviera Power Inc. Nature Energy Corp. Nature Energy Corp. year Year Stock price Dividends Year Stock price Dividends Year Stock price Dividends 2019 $18.5 $1.50 $38.5 $4.50 $58.5 $3.50 2018 $15.93 $1.10 $40.93 $3.10 $50.93 $2.10 2017 $10.20 $1.00 $43.20 $3.00 $53.20 $3.00 2016 $9.80 $0.90 $50.80 $2.90 $50.80 $2.90 2015 $8.50 $0.85 $48.50 $2.85 $48.50 $2.75 2014 $8.00 $0.80 $45.00 $2.80 $45.00 $2.60 6. Calculate the percentage volatility (betas) of Power Electric Industries and Riviera Power Inc. by running regressions from the returns.…An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Football Fan Not a Football Fan (i) P(A) = (ii) P(D) = (iii) P(A|F) = (iv) P(A/FC): Total = Agree 723 259 982 Disagree Total 493 621 Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan (a) Calculate the following probabilities. (Round your answers to four decimal places.) 1,114 1,216 880 2,096 (b) Are the events F and A independent events? Justify your answer using relevant probabilities. O Yes, the events F and A are independent…
- hunt alone, while other times they form hunting parties. The following table summarizes research on chimpanzee hunting 7. A famous researcher observed that chimpanzees hunt and eat meat as part of their regular diet. Sometimes chimpanzees ant alone, while other times they form hunting parties, The following table summarizes research on chimpanzee hunting Parties, giving the size of the hunting party and the percentage of successful hunts. Complete parts (a) thnrough (C) below. Numbers of a. Plot the data. Choose the correct graph below. Chimps in Hunting Party Percentage of Successful Hunts В. O A. Ay 90- 1 17 90- 2 27 3 25 4 39 0- 37 17 17 6. 55 7 42 OC. D. 8 59 Ay 90- 90- 9 62 10 65 12 72 13 72 14 77 17 17 15 72 16 79 Do the data points lie in a linear pattern? Yes No b. Find the correlation coefficient. Combining this with the answer to part (a), does the percentage of successful hunts tend to increase with the size of the hunting party? r= (Do not round until the final answer. Then…A politician can emphasize jobs or the environment in her election campaign. The voters can be concerned about jobs or the environment. A payoff matrix showing the utility of each possible outcome is shown. The political analysts feel there is a 0.51 chance that the voters will emphasize jobs. Voters Jobs Environment +25 Jobs - 10 Environment - 15 +30 Which strategy should the candidate adopt? What is the expected utility? Which should the candidate emphasize to gain the highest utility? Jobs Environment What is the expected utility of the strategy chosen in the previous step? 7.05 (Type an integer or a decimal.)C (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $) O E (years since 2010) and P (gross profit of UPS Inc. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th -Select- () Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O -0, 0) O [0, 20] O [-2, 8] range [41.9, 47.8] O [-50, 50] [37.3, 52.3] [0, 100] O (-o, co) (d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.) The slope is This means that the gross profit for UPS Inc. --Select--- by about that value in billions of dollars each year. (e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.) In 2019, the…