# List of mathematical distributions and formulas pdf

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- 1.4 – The Cumulative Distribution Function
- Probability Distribution
- List of probability distributions

The idea of a random variable can be confusing. In this video we help you learn what a random variable is, and the difference between discrete and continuous random variables. A discrete probability distribution function has two characteristics:. For a random sample of 50 mothers, the following information was obtained.

## 1.4 – The Cumulative Distribution Function

This module provides functions for calculating mathematical statistics of numeric Real -valued data. The module is not intended to be a competitor to third-party libraries such as NumPy , SciPy , or proprietary full-featured statistics packages aimed at professional statisticians such as Minitab, SAS and Matlab. It is aimed at the level of graphing and scientific calculators. Unless explicitly noted, these functions support int , float , Decimal and Fraction. Behaviour with other types whether in the numeric tower or not is currently unsupported. Collections with a mix of types are also undefined and implementation-dependent.

Normal distribution describes continuous data which have a symmetric distribution, with a characteristic 'bell' shape. Binomial distribution describes the distribution of binary data from a finite sample. Thus it gives the probability of getting r events out of n trials. Poisson distribution describes the distribution of binary data from an infinite sample. Thus it gives the probability of getting r events in a population.

## Probability Distribution

You can draw a histogram of the pdf and find the mean, variance, and standard deviation of it. For a general discrete probability distribution, you can find the mean, the variance, and the standard deviation for a pdf using the general formulas. These formulas are useful, but if you know the type of distribution, like Binomial, then you can find the mean and standard deviation using easier formulas. They are derived from the general formulas. Consider a group of 20 people. In this case you need to write each value of x and its corresponding probability.

List MF List of Formulae and Statistical Tables. Cambridge Pre-U Mathematics Standard continuous distributions. Distribution of X. P.D.F. Mean. Variance.

## List of probability distributions

Many probability distributions that are important in theory or applications have been given specific names. For any set of independent random variables the probability density function of their joint distribution is the product of their individual density functions. From Wikipedia, the free encyclopedia. Wikipedia list article. Outline Index.

*Chapter 2: Basic Statistical Background. Generate Reference Book: File may be more up-to-date.*