There are 3 players with 3 options A, B, and C. Player-1 and 2 strictly prefer A to B and B to C. Player 3 strictly prefers C to B and B to A. A Rawlsian social planner would therefore choose (a) A or C (b) C Кс) А
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- Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows. Game 1 games 2 3 0.59 0.56 4 5 6 Probability of Win Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.) (a) What is the average number of games played regardless of winner? (Round your answer to one decimal place.) 7 0.49 0.46 0.49 0.56 0.51 (b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to…A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain college team has on its roster four centers, five guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] lineups (b) Now suppose the roster has 5 guards, 5 forwards, 4 centers, and 2 "swing players" (X and Y) who can play either guard or forward. If 5 of the 16 players are randomly selected, what is the probability that they constitute a legitimate starting lineup? (Round your answer to three decimal places.)Everest Deluxe World Travel has decided to advertise in the Sunday editions of two major... Everest Deluxe World Travel has decided to advertise in the Sunday editions of two major newspapers in town. These advertisements are directed at three groups of potential customers. Each advertisement in Newspaper I is seen by 70,000 Group A customers, 40,000 Group B customers, and 20,000 Group C customers. Each advertisement in Newspaper II is seen by 10,000 Group A, 20,000 Group B, and 40,000 Group C customers. Each advertisement in Newspaper I costs $1000, and each advertisement in Newspaper II costs $200. Everest would like their advertisements to be read by at least 2 million people
- Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows.Game 1 2 3 4 5 6 7Probability of Win 0.59 0.56 0.49 0.46 0.47 0.56 0.49Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.)(a)What is the average number of games played regardless of winner? (Round your answer to one decimal place.) Incorrect:…State if each scenario involves a permutation or a combination.A movie studio is scheduling the release of six films-Fiesta, Glaciers, Hurricanes, Jets, Kangaroos, and Lovebird. No two of these films can be released on the same date. The release schedule is governed by the following conditions: Fiesta must be released earlier than both Jets and Lovebird. Kangaroos must be released earlier than Jets, and Jets must be released earlier than Hurricanes. Lovebird must be released earlier than Glaciers. 3. If Glaciers is released earlier than Hurricanes, then each of the following could be true except: A Glaciers is released fourth. Ⓑ Jets is released third. C Kangaroos is released second. D Lovebird is released third. E Lovebird is released fifth.
- 5. Define the following terms with a suitable example: d. Mixed strategy in a game. e. Simultaneous move Game.14. Suppose the Toronto Maple Leafs and the Edmonton Oilers make it to the 2021-2022 Stanley Cup Championship and are equally matched. The Stanley Cup is awarded to the first of the two hockey teams to win four games against the other (i.e. the teams compete in a best-of-seven series of games). Games 1 and 2 are played in Toronto while games 3 and 4 are played in Edmonton. If necessary, games 5 and 7 would be played in Toronto while game 6 would be played in Edmonton. Games are independent of one another, and the probability that a team wins any given game is 3/5 when it plays on home ice. What is the approximate probability that the Toronto Maple Leafs win the Stanley Cup if they lose games 1 and 2? а. 15.47% b. 16.47% с. 17.47% d. 18.47%Flowering plant species can be subject to inbreeding, through self-fertilization. Some species have adaptations that help to avoid this inbreeding, through asymmetric flower structures. If the flower structures are “right-handed”, then a pollinator visiting the right-handed flower will get pollen on its left side, and thus, only be able to deposit the pollen on a left-handed flower that it visits later on. [Similarly, pollinator visits to left-handed plants will result in pollen deposits on right-handed plants.] You are interested in studying a particular plant species called Lupinus perennis, that demonstrates handedness, and you wish to know whether one type of handedness is more prevalent than the other (e.g., are left-handed plants more prevalent than right-handed plants?) You sample 30 L. perennis plants, and find that 20 plants are right-handed, and 10 plants are left-handed. Is one type of handedness more prevalent than the other? What is your null hypothesis? Report the…
- b) Consider the following game matrix: -10 -2 -1 7 -5 20 -10-10 7 -1 2 7 -10 7 -1 -10 Determine optimal mixed strategies to each player and give the value of the game. -1 7 -20 -10 -1 2-10 7 -5 20 -1 -1Management selection. A corporation plans to fill 2 different positions for vice-president, Upper V 1V1 and Upper V 2V2, from administrative officers in 2 of its manufacturing plants. Plant A has 88 officers and plant B has 99. Question content area bottom Part 1 a. How many ways can these 2 positions be filled if the Upper V 1V1 position is to be filled from plant A and the Upper V 2V2 position from plant B? enter your response here