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Published in:
2022 | OriginalPaper | Chapter
8. Probability Distributions
Authors : Christian Heumann, Michael Schomaker, Shalabh
Published in: Introduction to Statistics and Data Analysis
Publisher: Springer International Publishing
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Abstract
We introduced the concept of probability density and probability mass functions of random variables in the previous chapter. In this chapter, we are introducing some common standard discrete and continuous probability distributions which are widely used for either practical applications or for constructing statistical methods described later in this book. Suppose we are interested in determining the probability of a certain event. The determination of probabilities depends upon the nature of the study and various prevailing conditions which affect it. For example, the determination of the probability of a head when tossing a coin is different from the determination of the probability of rain in the afternoon. One can speculate that some mathematical functions can be defined which depict the behaviour of probabilities under different situations. Such functions have special properties and describe how probabilities are distributed under different conditions.