Question

In: Statistics and Probability

Problem 16-07 (Algorithmic) Baseball's World Series is a maximum of seven games, with the winner being...

Problem 16-07 (Algorithmic)

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 are playing the Minnesota Twins 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, the probabilities of Atlanta winning each game are as follows:

Game 1 2 3 4 5 6 7
Probability of Win 0.46 0.52 0.45 0.55 0.43 0.41 0.6
  1. Set up a spreadsheet simulation model in whether Atlanta wins each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.


  2. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Solutions

Expert Solution

please like if it helps please please


Related Solutions

Baseball's World Series is a maximum of seven games, with the winner being the first team...
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 are playing the Minnesota Twins 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, the...
Baseball's World Series is a maximum of seven games, with the winner being the first team...
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 are playing the Minnesota Twins 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, the...
Baseball's World Series is a maximum of seven games, with the winner being the first team...
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,...
Baseball's World Series is a maximum of seven games, with the winner being the first team...
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,...
Baseball’s World Series is a maximum of seven games, with the winner being the first team...
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,...
Problem 15-07 (Algorithmic) Refer to the gasoline sales time series data in the given table. Week...
Problem 15-07 (Algorithmic) Refer to the gasoline sales time series data in the given table. Week Sales (1000s of gallons) 1 18 2 21 3 18 4 24 5 18 6 15 7 21 8 19 9 22 10 21 11 15 12 23 Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places. Week Sales 4-Week Moving Average 5-Week Moving Average 1 18 2 21 3 18 4 24 5 18 6...
In a championship series, the winner emerges by winning 5 out of eight games. Teams A...
In a championship series, the winner emerges by winning 5 out of eight games. Teams A and B play in the championship, but team A has a 60% chance of winning compared to team B. a.Find the probability that team A wins the championship b.What is the probability that team A wins in 7 games. c.If there’s a playoff series in which the winner emerges by winning 2 out of 3 games, what is the probability that team A wins...
Problem 9-07 (Algorithmic) As part of the settlement for a class action lawsuit, Hoxworth Corporation must...
Problem 9-07 (Algorithmic) As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars): Year 1 2 3 4 5 6 Payment 195 220 270 320 350 470 The annual payments must be made at the beginning of each year. The judge will approve an amount that, along with earnings on its investment, will cover the annual payments. Investment of the funds will be limited...
In the World Series the first team to win four games wins the championship. If the...
In the World Series the first team to win four games wins the championship. If the two teams are evenly matched, then the probabilities that the series will be decided after 4, 5, 6, or 7 games are given below. a) What is the expected number of games that will be required to decide the championship? b) Calculate the probabilities. Explain your logic and show all work. Number of games: 4, 5, 6, 7 Probability: 1/8, 1/4, 5/16, 5/16
The table below lists the number of games played in a yearly best-of-seven baseball championship series,...
The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions. games played 4 5 6 7 actual contests 20 20 20 38 expected proportion 2/16 4/16 5/16 5/16 Ho:     A. The observed frequencies agree with...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT