Measrements for the length and width of a rectanglar plastic covers for CDs are Founded to the nearest mm (so they are disscrete). Let X denote the length and Y denote the width. The possible values of X are 129, 130, and 131 mm The possible valoes of Y are 15 and 16 mm. The joint distribution is given by the following table X-length 129 130 131 Y-width 15 0.12 0.42 006 16| 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131 m is O 0.13 O 02 O 04 0.08
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.
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