A standard normal variable Z can be transformed to the normally distributed random variable X with only mean µ known.

Name: A standard normal variable Z can be transformed to the normally distributed random variable X with only mean µ known.
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To transform a standard normal variable Z into a normally distributed random variable X, both the mean (µ) and the standard deviation (σ) of X are required. The transformation formula is X = µ + Zσ.

A Standard Normal Variable Z Can Be Transformed to the Normally