三道随机变量的习题1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= ,P(Y≥3)=2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,则P〔max(X,Y)>0〕=3,设平面区域D由曲线y=1/X及直线y=0,x=1,x=
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![三道随机变量的习题1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= ,P(Y≥3)=2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,则P〔max(X,Y)>0〕=3,设平面区域D由曲线y=1/X及直线y=0,x=1,x=](/uploads/image/z/14393208-48-8.jpg?t=%E4%B8%89%E9%81%93%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%E7%9A%84%E4%B9%A0%E9%A2%981%2C%E5%B7%B2%E7%9F%A5X%7EP%EF%BC%88ln2%EF%BC%89%2CY%3Dmin%EF%BC%88X%2C3%EF%BC%89%2C%E5%88%99P%EF%BC%88Y%E2%89%A41%EF%BC%89%3D+%2CP%EF%BC%88Y%E2%89%A53%EF%BC%89%3D2%2C%E8%AE%BEX%E5%92%8CY%E6%98%AF%E4%B8%A4%E4%B8%AA%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F%2C%E4%B8%94P%EF%BC%88X%3E0%2CY%3E0%EF%BC%89%3D3%2F7%2CP%EF%BC%88X%3E0%EF%BC%89%3DP%EF%BC%88Y%3E0%EF%BC%89%3D4%2F7%2C%E5%88%99P%E3%80%94max%EF%BC%88X%2CY%EF%BC%89%3E0%E3%80%95%3D3%2C%E8%AE%BE%E5%B9%B3%E9%9D%A2%E5%8C%BA%E5%9F%9FD%E7%94%B1%E6%9B%B2%E7%BA%BFy%3D1%2FX%E5%8F%8A%E7%9B%B4%E7%BA%BFy%3D0%2Cx%3D1%2Cx%3D)
三道随机变量的习题1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= ,P(Y≥3)=2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,则P〔max(X,Y)>0〕=3,设平面区域D由曲线y=1/X及直线y=0,x=1,x=
三道随机变量的习题
1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= ,P(Y≥3)=
2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,则
P〔max(X,Y)>0〕=
3,设平面区域D由曲线y=1/X及直线y=0,x=1,x=е^2所围成,二维随机变量(X,Y)在区域D上服从均匀分布,则(X,Y)关于X的边缘概率密度在x=2处的值为
三道随机变量的习题1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= ,P(Y≥3)=2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,则P〔max(X,Y)>0〕=3,设平面区域D由曲线y=1/X及直线y=0,x=1,x=
1,已知X~P(ln2),Y=min(X,3),则P(Y≤1)= P(X≤1)=P(X=0)+P(X=1)= (ln2e)/2,
P(Y≥3)=P(X≥3)=1-(P(X=0)+P(X=1)+P(X=2))=(2-2ln2-(ln2)^2)/4
2,设X和Y是两个随机变量,且P(X>0,Y>0)=3/7,P(X>0)=P(Y>0)=4/7,
则P〔max(X,Y)>0〕
=1-P〔max(X,Y)≤0〕
=1-P(X≤0,Y≤0)
=P(X>0∪Y>0)=P(X>0)+P(Y>0)-P(X>0,Y>0)=4/7+4/7-3/7=5/7
f(x,y)=1/2
fX(2)=∫【0,1/2】dy/2=1/4