With continuous random variables we should use the probability density function f (x). The difference is that the probability density function does not directly provide probabilities.

In this chapter, some widely known discrete and continuous distributions, which have been given special names, are introduced, and their features and practical applications are discussed. We then ...

This resource revises Probability and Distributions and within Probability and Distributions there are 6 key concepts: Basic Probability Discrete Random Variables The Binomial Distribution Continuous ...

Part-I, Probability (Chapters 1 – 3), lays a solid groundwork for probability theory, and introduces applications in counting, gambling, reliability, and security. Part-II, Random Variables (Chapters ...

Normal Probability Plot: a quantile-quantile plot where one of the data sets is normally distributed. Probability Density Function: a function of a continuous random variable, such that the area under ...

Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...

Probability distributions are used to organise and display the outcomes and probabilities of discrete random variables. This makes it easier to see all possible outcomes and their associated ...