Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win fourgames. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first twogames are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, backin Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose theprobabilities of Atlanta winning each game are as follows.Game12345Probability of Win 0.61 0.54 0.49 0.44 0.49670.54 0.51Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model toanswer 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.)5.2x games(b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to three decimal places.)0.546

Game vs. probability of win table is given.Find out the average number of games played regardless of winnerPart a:Part b:is already calculatedPart a: 14.18 games

Answered: Major League Baseball's World Series is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 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:…
In Major league Baseball (MLB), the American League baseball teams play their home games with the designated hitter (DH). This rule gives the team the ability to have a batter take the place in the batting order of the pitcher. The league believes that by replacing the pitcher (usually a poor hitter), there will be more hits, more runs and therefore, more interest from fans. (David “Big Papi” Ortiz of the Red Sox is an example of a modern day DH). Below are the average runs scored in the American League and National League home games during the past 14 seasons. American League 11.4 9.9 10.5 9.7 10.4 9.1 10.3 9 10.2 9.0 10 8.9 9.9 8.8 National League 10.5 9.5 10.3 9.4 10 9.1 10 9 9.7 9 9.7 8.9 9.6 8.9 a) Is there evidence to suggest that the DH does lead to increased scoring in the American League? (Name hypothesis, Check conditions, .....etc)
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