P(X<k)

P(X>k)

P(k_1<X<k_2)

Esperanza y varianza

f(x) = If[(x > 1) ∧ (x  <  2), (3 / 7 * x^(2)), 0]
A = Point(f)
B = Point(f)
texto1 = LaTeX(f, true, true)
a = Integral((x * f(x)), 1, 2)
texto2: "μ=\int_{-∞}^{∞}{ x f(x)dx}=\int_{1}^{2}{\frac{3x³}{7}dx}=" + (LaTeX[a]) + ""
b = Integral(f, 1, 2)
c = Integral((x^(2) * f(x)), 1, 2)
texto3: "σ²=\int_{-∞}^{∞}{x²f(x)dx }-μ²=\int_{1}^{2}{\frac{3x⁴}{7}dx }-" + (LaTeX[a]) + "²=" + (LaTeX[c - a^(2)]) + ""
C: (x(A), 0)
D: (0, y(A))
E: (x(B), 0)
F: (0, y(B))
g = Segment(C, A)
h = Segment(A, D)
i = Segment(F, B)
j = Segment(B, E)
d: false
e: false
k = false
l = Integral(f, 1, x(A))
m = Integral(f, x(A), 2)
n = Integral(f, x(A), x(B))
o = false
texto7_2: "P(X<" + (x(A)) + "=" + l + ""
texto8_2: "P(X>" + (x(A)) + ")=" + m + ""
texto9_2: "P(" + (x(A)) + "<X<" + (x(B)) + ")=" + n + ""