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This video introduces the notion of a random variable "X". Random variables are similar to standard variables in calculus, except ...

In this video, we explain the concept of a Uniform Random Variable — one of the simplest and most important probability ...

One of the most important concepts in probability is that of a function of a random variable. For example, the mean and variance ...

The expected value (aka the mean) of a probability distribution is one of the most important functions of a random variable.

The joint probability distribution quantifies the joint dependence between two random variables, X and Y. If these random ...

This video computes probability from the probability density function of a Continuous Random Variable using the Integral button in ...

What Is A Probability Density Function For A Continuous Random Variable? In this informative video, we will discuss the concept ...

Ready to Practice Probability?:* https://youtu.be/7vb8a0kA-fw *Don't like the sound effects? Check out:* ...

This video is a submission for the Summer of Math Exposition 2025. #SoME4 The first goal of this video is to present an intuitive ...

Here we introduce two distributions derived from the joint PDF: the marginal and conditional densities. These are especially useful ...

The covariance and correlation between two random variables is an important concept in probability and statistics that ...

Probability density functions it is important to note so important that I'm going to repeat myself from the previous lesson that since ...

The moment generating function is an important advanced concept in probability. Much like functions can be expanded in a Taylor ...

... see the topic two-dimensional random variables in that joint probability density functions examples Already I have provided one ...

Bernoulli and Binomial random variables are key building blocks for more sophisticated distributions, such as the Normal and ...

Probability density functions the probability distribution of a discrete random variable shows the likelihood of each possible value ...

A random variable X has the following probability density function: f(x) = { k x², for -3 ≤ x ≤ 3 0, otherwise } Evaluate k and find: ...

How To Solve Probability Density Function? In this informative video, we will guide you through the essential concepts of ...

How To Graph Probability Distribution? In this video, we'll guide you through the process of graphing probability distributions, ...

Derive the probability density function for a lognormal random variable Y from the relationship that Y=exp(W) for a normal random ...