If the random variable X has the mean and the standard deviation s, show that the random variable Z whose values are related to those of X by means of the equation z x has E(Z) 0 and var(Z) 1 A distribution that has the mean 0 and the variance 1 is said to be in standard form, and when we perform t...

If the random variable X has the mean and the standard deviation s, show that the

Question:

If the random variable X has the mean µ and the standard deviation s, show that the random variable Z whose values are related to those of X by means of the equation z = x- µ / σ has E(Z) = 0 and var(Z) = 1
A that has the mean 0 and the variance 1 is said to be in standard form, and when we perform the above change of variable, we are said to be standardizing the of X.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...