Get step by step solution for Kurtosis, Variance, Mean, and Super Skewness?

Questions
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1

Hello,

Please, why Mathematica is not shown the step for the solution for Kurtosis,Variance, and Mean for the Normal Distribution?
I used below code but its gave the result only.In addition, Can Mathematica find SuperSkewness (for example 6) and mean of fluctuation to any symbol like (2n-1), (2n+1)?
Kurtosis

WolframAlpha["Kurtosis[NormalDistribution[\[Mu],\[Sigma]]]"]

Variance

WolframAlpha[" Variance[NormalDistribution[0,\[Sigma]]]"]

Mean

 WolframAlpha[" Mean[NormalDistribution[\[Mu], \[Sigma]]]"]
2

I don’t know why you would use WolframAlpha to do this; you can get this directly in Mathematica:

CentralMoment[NormalDistribution[\[Mu], \[Sigma]], #] & /@ Range[6]

gives the first 6 central moments:

{0, \[Sigma]^2, 0, 3 \[Sigma]^4, 0, 15 \[Sigma]^6}
3

Hello,

Thank you for your reply. I am doing that to get steps for the solution.This way it only gave me the answer.

Regards