For example, if you want to sample from a normal distribution with mean mu and standard deviation sigma, you can use the random.gauss function in Python, which implements rejection sampling using ...

Visually, the larger the variance, the "fatter" a probability distribution will be. In finance, if something like an investment has a greater variance, it may be interpreted as more risky or volatile.

The additional principles that make this characterization possible for log normally distributed variables are: (1) the mean of a log-normal distribution is a function of the mean and variance of ...