[商管] [統計]-成大100-工資管
第三題
John and Mary have agreed to meet for lunch between noon(0:00 P.M.)
and 1:00 P.M.Denote John's arrival time by X,Mary's by Y,and suppose
X and Y are independent with pdf's
f(x)=3x^2 0<=x<=1
0 otherwise
f(y)=2y 0<=y<=1
0 otherwise
what is the expected amount of time that the one who arrives first must wait
for other person?
想法是求P(|X-Y|>0)，又因兩者獨立故f(x,y)=f(x)*f(y)，又分成兩部分討論
0<x<y<1,0<y<x<1,得出兩個機率值，但接下來就不知如何下筆...
請版上的高手指點迷津，謝謝!
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◆ From: 111.255.249.82
※ 編輯: heroiclove 來自: 111.255.249.82 (02/21 12:29)
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