The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919–1921 World Series, when it was a best of nine). Thus it takes at least four games and no more than seven games to establish a winner. From the document World Series History on the Baseball Almanac website, as of November 2013, the lengths of the World Series are as given in the following table. Number of Games Frequency Relative Frequency 4 21 .200 5 24 .229 6 24 .229 7 36 .343 If X denotes the number of games that it takes to complete a World Series, identify the possible values of the random variable X. Do the first and third columns of the table provide a probability distribution for X? Explain your answer Historically, what is the most likely number of games it takes to complete a series? Historically, for a randomly chosen series, what is the probability that it ends in five games? Historically, for a randomly chosen series, what is the probability that it ends in five or more games?
The World Series in baseball is won by the first team to win four games (ignoring the 1903 and 1919–1921 World Series, when it was a best of nine). Thus it takes at least four games and no more than seven games to establish a winner. From the document World Series History on the Baseball Almanac website, as of November 2013, the lengths of the World Series are as given in the following table.
Number of Games |
Frequency |
Relative Frequency |
4 |
21 |
.200 |
5 |
24 |
.229 |
6 |
24 |
.229 |
7 |
36 |
.343 |
- If X denotes the number of games that it takes to complete a World Series, identify the possible values of the random variable X.
- Do the first and third columns of the table provide a
probability distribution for X? Explain your answer - Historically, what is the most likely number of games it takes to complete a series?
- Historically, for a randomly chosen series, what is the probability that it ends in five games?
- Historically, for a randomly chosen series, what is the probability that it ends in five or more games?
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Given data:
Number of Games |
Frequency |
Relative Frequency |
4 |
21 |
.200 |
5 |
24 |
.229 |
6 |
24 |
.229 |
7 |
36 |
.343 |
identify the possible values of the random variable X.
probability distribution for X
most likely number of games
probability that it ends in five games
probability that it ends in five or more games are to be solved
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