SOLUTION: A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution 1) Explain the difference between the normal distribu

Question 381446: A random variable X follows the normal distribution, and another random variable Z follows the standard normal distribution
1) Explain the difference between the normal distribution and the standard distribution
2) Explain how the variables, X and Z are related.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The mean of X may not be 0, the mean of Z is 0. The standard deviation of Z may not be 1, the sd of Z is 1. To switch from X to Z (or vice-versa) we use the formula (commonly called the "z-score") , where is the mean of X , and is the standard deviation of X.
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