How can you find standard deviation from a probability distribution?

Julia White

Julia White

Answered

2022-01-19

How can you find standard deviation from a probability distribution?

Answer & Explanation

jean2098

jean2098

Expert

2022-01-19Added 38 answers

Standard deviation =E(X2)(E(X))2
Explanation:
In a PDF, f(x), the expected mean is given by E(X)
Where E(X)=xf(x)dx
The variance is given by Var(x)=E(X2)(E(X))2
Where E(g(X))=g(x)f(x)dx
We know
Standard Deviation = Variance
Standard deviation =E(X2)(E(X))2
Or...
Standard deviation =x2f(x)dx(xf(x)dx)2

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