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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.

See how probability density functions (PDFs) are secretly made of infinitely thin rectangles! Watch as we build a PDF from the ...

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 ...

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

A probability density function (PDF) describes the probability of a random variable taking some specific value, with the area under ...

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 ...

f(x) is a probability density function. Find the value of c if f(x) = cx between 0 & 4 & f(x) = 0 elsewhere. Math Methods Unit 4 | QCAA ...

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 ...

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 ...

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

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

Join the Maths Methods Club to practice exam questions! Sort past questions into 35 topics. Visit www.MathsMethodsClub.com.au ...

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