Question

find μ and σ2 for the probability density. For distribution function F(X): F(x)=x^2/2 when 0<x<1 F(x)=2x-x^2/2-1...

find μ and σ2 for the probability density.

For distribution function F(X):
F(x)=x^2/2 when 0<x<1

F(x)=2x-x^2/2-1 when 1<=x<2

F(x)=1 when x>=2

1.P(X>1.8) = 0.02

2.P(0.4<=X<=1.6) = 0.84

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