Find the mean m = E(X), variance o = var(X), and standard deviation o = Oy of each distribution: %3D 2 3 11 3 4 (a) f(x) 1/3 1/2 1/6 (b) f(x) 0.4 0.1 0.2 0.3 Use the formulas, H = E(X) = x1 f (x) + x2f (x2) + ... + Xmf (xm) = Ex,f(x,) E(X-) = x f(x) + xfx)+...+ (*) = f(x) %3D Then use the formulas = var (X) = E(X²) – µ² and o = Ox = var(X). %3D

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Find the mean m = E(X), variance o; = var(X), and standard deviationo = Ox of each distribution:
%3|
%3D
%3D
2 3 11
1
3.
4
(a)
f(x) 1/3 1/2 1/6
(b)
f(x) 0.4 0.1 0.2 0.3
Use the formulas,
µ = E(X) = x, f (x) + x2f (x) + ... + xmf (x) = * f(x)
+ Xm f (Xm) = _x,f (x)
%3D
E(X³) = x{f(x) + x3f(x) +...+ x(xm) = f(x)
%3D
Then use the formulas
= var (X) = E(X²) – µ² and o = 0x = var(X).
%3D
Transcribed Image Text:Find the mean m = E(X), variance o; = var(X), and standard deviationo = Ox of each distribution: %3| %3D %3D 2 3 11 1 3. 4 (a) f(x) 1/3 1/2 1/6 (b) f(x) 0.4 0.1 0.2 0.3 Use the formulas, µ = E(X) = x, f (x) + x2f (x) + ... + xmf (x) = * f(x) + Xm f (Xm) = _x,f (x) %3D E(X³) = x{f(x) + x3f(x) +...+ x(xm) = f(x) %3D Then use the formulas = var (X) = E(X²) – µ² and o = 0x = var(X). %3D
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