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 ...

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. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Probability theory forms the mathematical backbone for quantifying uncertainty and random events, providing a rigorous language with which to describe both everyday phenomena and complex scientific ...

So far we have looked at discrete random variables and how to calculate/visualize their distribution functions. In this lesson, we shall deal with continuous variables and probability density function ...

1 Department of Business Administration and LaboMaths, University Julius Nyéréré of Kankan, Kankan, Guinea. 2 Faculty of Sciences, University Julius Nyéréré of Kankan, Kankan, Guinea. Several ...

A discrete random variable is a type of random variable that can only take on a countable number of distinct values. A discrete random variable is a variable whose possible values are distinct and ...

Department of Applied Maths & Statistics, ICMC, Universidade de S?o Paulo, S?o Paulo, Brazil. Department of Statistics, CCET, Universidade Federal de S?o Carlos, S?o Carlos, Brazil. In this paper is ...

Forecasting for any small business involves guesswork. You know your business and its past performance, but you may not be comfortable predicting the future. Using Excel is a great way to perform what ...