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QUESTION

# What is the variance of the standard normal distribution?

The variance of Standard Normal Distribution represented by sigma^2 is equal to unity. sigma^2=1

A Standard Normal Distribution is a normal distribution with zero mean (mu=0) and unit variance (sigma^2=1), given by the probability density function and distribution function

P(x) = 1/(sqrt(2pi))e^(-x^2/2) D(x) = 1/2[erf(x/(sqrt(2)))+1

over the domain x in (-infty,infty)

It has mean, variance, skewness, and kurtosis excess given by

mu = 0

sigma^2 = 1

gamma_1 = 0

gamma_2 = 0