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…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.A computer store sells three types of microcomputers, brand A, brand B, and brand C. Of the computers they sell, 60% are brand A, 25% are brand B, and 15% are brand C. They have found that 20% of the brand A computers, 15% of the brand B computers, and 10% of brand C computers are returned for service during the warranty period. If a computer is returned for service during the warranty period, what is the probability that it is a brand A computer? A brand B computer? A brand C computer? The probability that it is a brand A computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand B computer is (Type a decimal. Round to three decimal places if needed.) The probability that it is a brand C computer is (Type a decimal. Round to three decimal places if needed.)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%
- Permudahkan Soalan ii . SahajaCustomers at a café can have either a baked potato or scalloped potatoes with theirbuffalo bacon cheese ranch dressing burger if they choose to have a side order. As it turns out70% of the customers choose to have the buffalo bacon cheese ranch dressing burger. Further,25% of the customers have both the buffalo bacon cheese ranch dressing burger and the bakedpotato. Given a customer has the buffalo bacon cheese ranch dressing burger what is theprobability the customer is having the baked potato with it?Consider 2 Countries, Domestic and Foreign. Both countries have the same production technology. They differ in their endowment of L and K. Foreign has the following situation: PFood = 6*w + 4*r PBeyerage = 4*w + 4*r PFood = $24 Domestic has the following situation: = 6*w + 4*r PEood PBeverage PEeod = $32 PBeverage = $24 = 4*w + 4*r PBeverage = $20 1. Initially, the countries operate in autarky – no trade. Complete the table to determine conditions within each country. Autarky w*D = w*F r*D = r*F w/r = w/r = (K/L)Food = (K/L)Feed (K/L)Beverage (K/L)Beverage Food per w = Food per w = Beverage per w = Beverage per w = Food per r= Food per r = Beverage perr= Beverage perr= 1. 1. 10
- In a gaming conference attended by 80 people, 35 plays Valorant, 20 plays DoTA, 15 plays Genshin Impact. 5 plays both Valorant and Genshin Impact, 10 plays both Valorant and DoTA, 7 plays DOTA and Genshin Impact, and 4 plays all 3 games. Find the number of people who plays at least one of the games stated.A combo meal at Bayes' Burgers comes with fries, a burger, and a soda. The fries can be small, medium, or large, and the soda can be diet or regular. A fry cook makes the observation that 80% of the customers who choose the small fry in their combo choose a regular soda. While 60% of the customers who choose a large fry in their combo choose a diet soda. And 99% of customers who chąose the medium fry in their combo choose the regular soda. Assume 25% of customers choose a small fry in their combo, and 35% choose the large fry. If a customer chose the diet soda, what is the probability they chose the small fry?