During a recent CD sale at Matt's Music Store, the number of CDs customers purchased was distributed as follows: Number X 0 1 2 3 4 Probability P(X) 0.10 0.23 0.31 0.27 0.09 Find the mean, variance, and standard deviation of the distribution
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.
During a recent CD sale at Matt's Music Store, the number of CDs customers purchased was distributed as follows:
| Number X | 0 | 1 | 2 | 3 | 4 |
| Probability P(X) | 0.10 | 0.23 | 0.31 | 0.27 | 0.09 |
Find the mean, variance, and standard deviation of the distribution
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