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The Truncated Normal Distribution
people.sc.fsu.eduBecause the standard normal distribution is symmetric about the origin, it is immediately obvious that mean(˚(0;1;)) = 0. The variance of a distribution ˆ(x), symbolized by var(ˆ()) is a measure of the average squared distance between a randomly selected item and the mean. Assuming the mean is known, the variance is de ned as: