In 1992, after game 1 of the World Series (of baseball, a best-of-seven series), the announcers took pleasure in announcing that over the previous 20 years, it had only happened 8 times that the team that lost the first game went on to win the series. They seemed to be suggesting that winning a series 40% of the time was surprisingly low after loosing the first game. Is it? In other words, assuming that the two teams are equally likely to win a game and that the games are independent events, what is the probability that the team that lost the first game wins the series?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
In 1992, after game 1 of the World Series (of baseball, a best-of-seven series), the announcers took pleasure in announcing that over the previous 20 years, it had only happened 8 times that the team that lost the first game went on to win the series. They seemed to be suggesting that winning a series 40% of the time was surprisingly low after loosing the first game. Is it? In other words, assuming that the two teams are equally likely to win a game and that the games are independent events, what is the probability that the team that lost the first game wins the series?
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