Problem 11-5 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 0.4 0.5 0.45 0.45 0.48 0.35 0.55 (a) Set up a spreadsheet simulation model in whether Atlanta wins each game is a random variable. (Do 100 simulations) What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places. .? (b) What is the average number of games played regardless of winner? If required, round your answer to the nearest whole number. ?
Problem 11-5 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 0.4 0.5 0.45 0.45 0.48 0.35 0.55 (a) Set up a spreadsheet simulation model in whether Atlanta wins each game is a random variable. (Do 100 simulations) What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places. .? (b) What is the average number of games played regardless of winner? If required, round your answer to the nearest whole number. ?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Problem 11-5
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 0.4 0.5 0.45 0.45 0.48 0.35 0.55
(a) Set up a spreadsheet simulation model in whether Atlanta
wins each game is a random variable. (Do 100
simulations)
What is the probability that the Atlanta Braves win the
World Series?
If required, round your answer to two decimal places.
.?
(b) What is the average number of games played regardless
of winner?
If required, round your answer to the nearest whole
number.
?
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VIEWStep 3: Determine the probability that Atlanta Braves win the World series.
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