Random Variables and Probability Distributions
Abstract
This chapter discusses the concepts related to discrete and continuous random variables. Initially, we calculate the expected value, the variance, and the cumulative distribution function of discrete and continuous random variables. After that, the main types of probability distribution for discrete random variables are described: discrete uniform, Bernoulli, binomial, geometric, negative binomial, hypergeometric, and Poisson. For continuous random variables, the distributions studied are: uniform, normal, exponential, gamma, chi-square (χ2), Student’s t, and Snedecor’s F. Thus, it will be possible to determine the most suitable distribution for a certain set of data.
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