question archive 1) This problem leads you through the proof of why the mean and standard deviation of the standard Normal distribution is 0 and 1, respectively
Subject:MathPrice: Bought3
1) This problem leads you through the proof of why the mean and standard deviation of the standard Normal distribution is 0 and 1, respectively. Suppose X is a random variable with mean µX and standard deviation σX. Its z-score is the random variable
Z = (X − µx) / σx
1) What would a and b need to be so that the equation above is equavlent to Z = a + bX?
2) Using the form of Z given in part 1., what is the mean of Z, µZ?
3. Using the form of Z given in part 1., what is the standard deviation of Z, σZ?