Binomialverteilung
Author: Gymnasium Marktoberdorf
Date: 15 Mai 2013

Verschiebung nach links:

Stauchung der Breite mit Faktor 1/m_x

Streckung in y-Richtung mit Faktor m_y

Dichtefunktion

frei bearbeitete Funktion

Standardisierte ZG

flächengleiche Funktion

Relative Trefferzahl

Die Binomialverteilung

n = 50 (slider from 1 to 150, step 1)
p = 0.25 (slider from 0 to 1, step 0.05)
f(x) = n! / (x! * (n - x)!) * p^(x) * (1 - p)^(n - x)
g(x) = f(floor(x + 0.5))
o = UpperSum(g, -0.5, n + 0.5, n + 1)
x_0 = 0 (slider from 0 to 150, step 1)
m_x = 1 (slider from 0 to 10, step 0.1)
m_y = 1 (slider from 0 to 10, step 0.1)
g_0(x) = m_y * g(x * m_x + x_0)
o_0 = UpperSum(g_0, (-x_0 - 0.5) / m_x, (-x_0 + n + 0.5) / m_x, n + 1)
g_n(x) = sqrt(n * p * (1 - p)) * g(x * sqrt(n * p * (1 - p)) + n * p)
φ(x) = 1 / 2.51 * exp((-x^(2)) / 2)
a = false
b = false
c = false
g_r(x) = n * g(x * n + 0.5 / n)
g_1(x) = m_x * g(x * m_x + x_0)
σ: sqrt(n * p * (1 - p))
d = false
e = false
text5: "σ =" + σ
o_1 = UpperSum(g_1, (-x_0 - 0.5) / m_x, (-x_0 + n + 0.5) / m_x, n + 1)
o_n = UpperSum(g_n, (-n * p - 0.5) / sqrt(n * p * (1 - p)), (-n * p + n + 0.5) / sqrt(n * p * (1 - p)), n + 1)
o_r = UpperSum(g_r, (-0.5) / n, 1 + 0.5 / n, n + 1)