Consider the World Series which is played every fall between 2 major league baseball teams. The series can go for 7 games and the first team to win four games wins the series. Thus, the possible number of games played in the series are between 4 and 7 inclusive. From 1950 to 2008, there were 12 series that went 4 games, 10 that went 5 games, 12 that went 6 games, and 24 that went 7 games for a total of 58 series (there was no series played in 1994). - Assuming that each World Series game is an independent event and that the probability of either team's winning any particular contest is 0.5, find the probability of each series length. How well does the binomial model fit the data in your opinion? Do the assumptions seem reasonable?
Section: Binomial and Geometric Random Variables
Q : Consider the World Series which is played every fall between 2 major league baseball teams. The series can go for 7 games and the first team to win four games wins the series. Thus, the possible number of games played in the series are between 4 and 7 inclusive. From 1950 to 2008, there were 12 series that went 4 games, 10 that went 5 games, 12 that went 6 games, and 24 that went 7 games for a total of 58 series (there was no series played in 1994).
- Assuming that each World Series game is an independent
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
