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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 ...

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 ...

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

Gresty Academy One Minute Teaser #364: Joint probability density functions are often examined in undergraduate probability ...

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

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

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

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

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

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

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

The exponential distribution is the probability distribution that quantifies the probability of a given time between Poisson (rare) ...

... 1966 England World Cup team 10:11 Summary Stats 10:36 The Probability Density Function PDF 12:30 Example 2: Tall women ...

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 ...

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