[考題] 請問一題統計學的聯合cdf求機率
出處:《統計學700題》裡面的題目
題目如下:
http://i.imgur.com/qYK8YR9.jpg

想請問第(2)小題
F(x,y)=xy(x+y)/16
0<=x<=2 , 0<=y<=2
為何
P(0<=X<=1 , 1<=Y<=2)
=F(1,2) - F(0,2) - F(1,1) + F(0,1)
不是直接用F(1,2) - F(1,1)就好了嗎?
為何要再加減另外兩項機率為0的值?
謝謝
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