In soccer team “M,” there are two playmakers: Player A, and Player B, and two goal scorers: Player X and Player Y. Based on extensive data collection of 100 goals that were scored in the last two seasons by this team: player A created 60 of the goals, while player B created the remaining 40. Among the plays that were created by player A, 38 goals were scored by player X, and the remaining 22 goals were scored by Player Y. Among the plays that were created by Player B, 15 goals were scored by Player X, while the remaining 25 goals were scored by player Y. In a new match, you heard that Player X scored a goal, what is the probability that this goal was created by Player A?
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 soccer team “M,” there are two playmakers: Player A, and Player B, and two goal scorers: Player X and Player Y. Based on extensive data collection of 100 goals that were scored in the last two seasons by this team: player A created 60 of the goals, while player B created the remaining 40. Among the plays that were created by player A, 38 goals were scored by player X, and the remaining 22 goals were scored by Player Y. Among the plays that were created by Player B, 15 goals were scored by Player X, while the remaining 25 goals were scored by player Y.
In a new match, you heard that Player X scored a goal, what is the
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