User:Digi/Normal Random Variable

In mathematics a normal random variable is a variable which possesses the properties randomness and normality. Some mathematicians have suggested this is paradoxical and deny the existence of normal random variables.

Definition

The variable $X\in N(\mu ,\sigma )$ is a normal random variable of mean $\mu$ and standard deviation $\sigma$ if $X$ normally takes values close to $\mu$ but sometimes randomly takes something else; but $\sigma$ also has some significance in this definition.

A random normal variable can best be explained by a monkey analogy, or better still, by a monkey analogy told on an airship.

• 

  This image is a totally random.

• 

  This image, while random, has some identifiable elements of normality.

See Also

• HTBFANJS