φ(x)\,=\, \frac{1}{\sqrt{2\,\pi}}\,e^{- \frac{1}{2}\,x^2}

\Phi(x)\,=\, \int_{-\infty}^x\varphi(t)\, dt

z=\frac{k-\mu}{\sigma}

Verteilungsfunktion

k = Point(xAxis)
μ = 11.75 (slider from 0 to 50, step 0.05)
σ = 1.65 (slider from 0 to 5, step 0.01)
f(x) = If[μ - (4 * σ) ≤ x ≤ μ + (4 * σ), Normal[μ, σ, x, false]]
g(x) = If[-4 ≤ x ≤ 4, Normal[0, 1, x, false]]
P_1 = Integral(f, μ - (4 * σ), x(k), true)
P = Integral(g, -4, (x(k) - μ) / σ, true)
zWert: (x(k) - μ) / σ
zz: (zWert, 0)
h(x) = If[-4 ≤ x ≤ 7, Normal[0, 1, x, true]]
A: (zWert, h(zWert))
a = true
B: (x(zz), (-0.028))
Text4 = Text("z", B)