Two teams (call them X and Y ) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string X Y X X Y X represents the outcome: X wins game 1, Y wins game 2, X wins game 3, and so on. a. Describe the event “ X wins in five games.” b. Describe the event “the series is over in game 5.” c. Describe the event “the series is over in game 6.” d. Find the size of the sample space.
Two teams (call them X and Y ) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string X Y X X Y X represents the outcome: X wins game 1, Y wins game 2, X wins game 3, and so on. a. Describe the event “ X wins in five games.” b. Describe the event “the series is over in game 5.” c. Describe the event “the series is over in game 6.” d. Find the size of the sample space.
Solution Summary: The author describes an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game.
Two teams (call them
X
and
Y
) play against each other in the World Series. (The World Series is a best-of-seven series: The first team to win four games wins the series, and games cannot end in a tie.) We can describe an outcome for the World Series by writing a string of letters that indicate (in order) the winner of each game. For example, the string
X
Y
X
X
Y
X
represents the outcome:
X
wins game 1,
Y
wins game 2,
X
wins game 3, and so on.
a. Describe the event “
X
wins in five games.”
b. Describe the event “the series is over in game 5.”
c. Describe the event “the series is over in game 6.”
d. Find the size of the sample space.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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