概率论问题求解？
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F(x)
=0 ; x<0
=Asinx ; 0≤x<π/2
=1 ; x≥π/2
(1)
F(π/2-) =1
Asin(π/2)=1
A=1
(2)
P(X≤π/3) =F(π/3) = sin(π/3) =√3/2
(3)
P(X>π/3) =1-P(X≤π/3) = 1-√3/2
(4)
P(π/6)<X≤π/3)=F(π/3)-F(π/6) = sin(π/3)- sin(π/6) = √3/2 -1/2
(5)
P(X=π/3) =0
(6)
P(|X|≤π/3) =P(X≤π/3)=F(π/3) =√3/2
=0 ; x<0
=Asinx ; 0≤x<π/2
=1 ; x≥π/2
(1)
F(π/2-) =1
Asin(π/2)=1
A=1
(2)
P(X≤π/3) =F(π/3) = sin(π/3) =√3/2
(3)
P(X>π/3) =1-P(X≤π/3) = 1-√3/2
(4)
P(π/6)<X≤π/3)=F(π/3)-F(π/6) = sin(π/3)- sin(π/6) = √3/2 -1/2
(5)
P(X=π/3) =0
(6)
P(|X|≤π/3) =P(X≤π/3)=F(π/3) =√3/2
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