The Maxwell–Boltzmann distribution describes the probability distribution of molecular speeds in a sample of an ideal gas. Introduced over 150 years ago, it is based on the work of Scottish physicist ...

Probability Density Function Calculating probabilities for continuous random variables requires a different approach from the methods used with discrete variables. If all the outcomes of a continuous ...

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 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 ...

stat 50 - Intro Probability+Stat - 4 Units Sample spaces, combinatorics, and random variables. Density and distribution functions. Expectation, variance, and covariance. The binomial, uniform, poisson ...

Poisson distribution Exponential distribution exhangeable i.i.d. sample mean sample variance covariance correlation uncorrelated positively correlated negatively correlated Markov's inequality ...

You can use the RAND () function to establish probability and create a random variable with normal distribution.

This distribution is quite heavy-tailed with moments existing only up to 1 / tailweight = 1.33, ie this random variable / distribution has infinite (population) variance.