How do I plot a distribution knowing the mean, sigma, skew and kurtosis

Questions
, ,
1

I would like to plot a (normal) distribution and then adjust parameter values for skew, kurtosis, mean, and std deviation, and see the resulting changes in the graph. Is there a way to generate these images using Wolfram Alpha (or anything else?)

Thanks.

2

Manipulate[
Plot[1/([Sigma] Sqrt[2 [Pi]])
E^(-((x - [Mu])^2/(2 [Sigma]^2))), {x, -6, 6}], {[Sigma], 1,
2}, {[Mu], 0, 2}]