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

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:StatisticsPrice: 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

2)What would a and b need to be so that the equation above is equavlent to Z = a + bX?

 

3)Using the form of Z given in part 1., what is the mean of Z, µZ?

 

4)   Using the form of Z given in part 1., what is the standard deviation of Z, σZ?

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