"* Previously we have introduced the concept of a **random variable**, and the concept of **probability distribution** (via the *probability mass function* /pmf/ and *probability densiti function* ...

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

"* It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of people with Lyme disease, the test to determine if you have it is will give a positive reading 97% of the ...

Abstract: We establish the first known upper bound on the exact and Wyner's common information of n continuous random variables in terms of the dual total correlation between them (which is a ...