Probability Mass Function
For discrete random variables, the PMF is also called the probability distribution. Thus, when asked to find the probability distribution of a discrete random variable XX, we can do this by finding…
What Is a Random Variable?
If you have ever taken an algebra class, you probably learned about different variables like x, y and maybe even z. Some examples of variables include x = number of heads or y = number of cell phones…
Bayes’ Theorem Definition
What is the Bayes' Theorem? Bayes' theorem, named after 18th-century British mathematician Thomas Bayes, is a mathematical formula for determining conditional probability. The theorem provides a way to revise existing predictions or…
Total Probability Theorem
The probability is the likelihood of an event. The probability of an event going to happen is 1 and for an impossible event is 0. In probability theory, there exists…
Fault Tree Diagrams and System Analysis
BlockSim allows system modeling using both reliability block diagrams (RBDs) and fault trees. This chapter introduces basic fault tree analysis and points out the similarities (and differences) between RBDs and…
Conditional Probability
What Is Conditional Probability? Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is…
The Multiplication Rule of Probability
The Multiplication Rule of Probability is a concept you will use frequently when solving probability equations. In this lesson, learn the two different scenarios in which you will use the…
Addition Rules for Probability
1. The number rolled can be a 2. 2. The number rolled can be a 5. Events: These events are mutually exclusive since they cannot occur at the same time. Probabilities: How do we…
