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A standard normal distribution occurs when a random variable is normally distributed with a specific property: a mean (average) of 0 and a standard deviation of 1.
The standard normal distribution is a special type of normal distribution where the values have been scaled to have this mean of 0 and standard deviation of 1. This scaling makes it easier for statisticians and researchers to communicate and compare different normal distributions.
The probability distribution function of a standard normal distribution is often denoted by the letter "Z," and when a random variable is normally distributed and standardized, its values can be compared using Z-scores.