If formula_38 is a standard normal deviate, then formula_39 will have a normal distribution with expected value formula_3 and standard deviation formula_18. This is equivalent to saying that the "standard" normal distribution formula_38 can be scaled/stretched by a factor of formula_18 and shifted by formula_3 to yield a different normal distribution, called formula_45. Conversely, if formula_45 is a normal deviate with parameters formula_3 and formula_6, then this formula_45 distribution can be re-scaled and shifted via the formula formula_50 to convert it to the "standard" normal distribution. This variate is also called the standardized form of formula_45.