来自卢京晶的问题
【已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)】
已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)
已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)
1回答
2020-12-22 02:29
【已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)】
已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)
已知随机变量X~U(-π,π),试求Y=cosX和Y^2=cos^2(X)
Y=cosX
f(y)=f(x1)/|y'(x1)|+f(x2)/|y'(x2)|
=2(1/2pi)/sin(arccosy)
=(1/pi)(1-y^2)^(1/2),-1