Probability is concerned with interpreting and comprehending life’s random events. Randomness and uncertainty are present in our everyday lives and every field of research, engineering, and technology ...

Density functions are nonnegative for all real numbers but greater than zero only at a finite or countably infinite number of points. Density functions are nonnegative for all real numbers and are ...

Lognormal distribution probability density function (PDF). The probability density function (PDF) for a lognormal random variable is ...

Results on probability integrals of multivariate t distributions are reviewed. The results discussed include: Dunnett and Sobel's probability integrals, Gupta and Sobel's probability integrals, John's ...

sim_1 Simulate drawing of N cards from a deck of cards which include integers between 1 and 10. The random variable X is the number on the cards drawn randomly. sim_2 Simulate the sum of 4 randomly ...

A continuous random variable is a type of variable that can take on any value within a given range. Unlike discrete random variables, which have a countable number of outcomes, continuous random ...

1 Department of Civil and Environmental Engineering, National University of Kaohsiung, Kaohsiung. 2 Department of Civil Engineering & Research Center for Hazard Mitigation and Prevention, National ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...