Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games

Business Sep 18, 2020

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

Game	1	2	3	4	5	6	7
Probability of Win	0.60	0.55	0.48	0.45	0.48	0.55	0.50

c. What is the average number of games played regardless of winner?

Expert Solution

E (X) = Sum of x p(x)

= (1* 0.60) + (2* 0.55) + (3* 0.48) + (4* 0.45) + (5* 0.48) + (6* 0.55) + (7* 0.50)

= 0.60+ 1.1+ 1.44+ 1.8+ 2.4+ 3.3+ 3.5

= 14.14

Archived Solution

Unlocked Solution

You have full access to this solution. To save a copy with all formatting and attachments, use the button below.

Already a member? Sign In

Important Note: This solution is from our archive and has been purchased by others. Submitting it as-is may trigger plagiarism detection. Use it for reference only.

For ready-to-submit work, please order a fresh solution below.

Or get 100% fresh solution

Get Custom Quote