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QUESTION

If a normally distributed random variable $X$ has mean $\mu_X$ and
standard deviation $\sigma_X$ then define a related random
variable which has mean 0 and standard deviation 1.



ANSWER

$X$ has mean $\mu_X$ and standard deviation $\sigma_X$.

$\ds Z=\frac{X-\mu_X}{\sigma_X}$ has a mean 0 and standard
deviation 1.




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