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There are a lot of problems we face in programming that deal with uncertainty, statistics, and probabilities. Unfortunately, the majority of the general-purpose languages that we use on a daily basis don’t provide a great approach to solving them.

This is particularly the case in C# with the System.Random class. The implementations of this class have been pretty poor for some time. System.Random in C# regularly leads to unexpected, buggy outcomes.

If you’re a C# fan who’s looking for new ways to use the language, then this course is for you. It proposes different approaches to improving the System.Random class, providing a number of powerful techniques that solve problems more efficiently and with fewer lines of code.

Fixing Random: Techniques in C#

A probability distribution can be continuous or discrete.

## Continuous Probability Distribution 

A random variable that is a *continuous* variable has a probability distribution called **continuous probability distribution**. 

The probabilities of a continuous random variable are defined as the area under the curve of its probability distribution function. Hence, the probability of continuous random variable having a particular value is *zero*. Due, to this continuous probability distribution, cannot be expressed in a tabular form. An equation or formula is used to describe it instead.


This is what a continuous probability distribution looks like:

A probability distribution can be continuous or discrete.

# Continuous Probability Distribution 

A random variable that is a *continuous* variable has a probability distribution called **continuous probability distribution**. 

The probabilities of a continuous random variable are defined as the area under the curve of its probability distribution function. Hence, the probability of continuous random variable having a particular value is *zero*. Due, to this continuous probability distribution, cannot be expressed in a tabular form. An equation or formula is used to describe it instead.


This is what a continuous probability distribution looks like:

This lesson covers the definitions for continuous distribution, discrete distribution, and the probability mass function.

Definitions

Introduction to System.Random in C#

Introduction to Fixing Random

Fixing Random - Discrete Distribution

Fixing Random - Continuous Distribution

Conclusion

Appendix

Definitions

Continuous Probability Distribution