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Normal Curve without Sigma in Denomenator

I found out that the Standard Deviation is also equal too: f(x) Blue which is the Normal Curve without Sigma in the Denominator!! Notice f(x) equation in Blue Probabilities are found by Integrating f(x) from 1 to 2 and then dividing by the Standard Deviation ; f(x) / Std.
See what happen now above