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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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") Z+=+%28X+-+mu%29%2Fsigma, where mu is the mean of X , and sigma is the standard deviation of X.