So far, you learned about discrete random variables and how to calculate or visualize their distribution functions. In this lesson, you'll learn about continuous variables and probability density ...

The first step is to ensure that the given distribution actually is a valid probability distribution. As mentioned earlier, this involves checking two key properties: non-negativity and summation to ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...

In the field of statistics and probability, marginal distribution plays a critical role in understanding the behavior of variables. It is a method used to determine the probability distribution of a ...

David Harper is the CEO and founder of Bionic Turtle. He is also a published author with a popular YouTube channel on expert finance topics. Almost regardless of your view about the predictability or ...

Abstract: In this correspondence, we give a sufficient condition for the exponential decay of the tail probability of a nonnegative random variable. We consider the Laplace-Stieltjes transform of the ...

What does the protein content in cows' milk have in common with human IQ? Both variables have approximately normal distributions. The normal distribution is a good model for measurements of many kinds ...