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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 ...

In this video, learn the concepts of Cumulative Distribution Function (CDF) and Probability Density Function (PDF) for a Random ...

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

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

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

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

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

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

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

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

This video would help you with the understanding of how to find Probability density functions of Random Variables using 3 ...

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

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

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

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

The gamma distribution is closely related to the exponential distribution, as it is the waiting time for the r-th event in a Poisson ...

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

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