The probability density function of a uniform random variable looks like a horizontal line segment over the support. This indicates that for any interval of a given length within the support, the ...

In the board game "Chick-a-Pig," a cow that sits in the center of the board and creates an obstacle for players attempting to move across the board. On each turen, a player rolls a die to determine ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

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 ...

Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn to assess risk and potential gains.

IMPORTANT: distl is currently still under development, is not yet well-tested, and is subject to significant API changes. Please keep posted until an official release is ready. Read the latest ...

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, ...