Jabarkan Standardizing normal random variables dari Sebaran normal dalam bahasa sunda

As a consequence of Property 1, it is possible to relate all normal random variables to the standard normal.

If X is a normal random variable with méan μ and variance σ2, then

is a standard normal random variable: Z~N(0,1).

An important consequence is that the cdf of a general normal distribution is therefore

Conversely, if Z is a standard normal random variable, then

is a normal random variable with méan μ and variance σ2.

The standard normal distribution has been tabulated, and the other normal distributions are simple transformations of the standard one.

Therefore, one can use tabulated values of the cdf of the standard normal distribution to find values of the cdf of a general normal distribution.