ISI 2014 Q26...Amit Sir plz help..!!!

Posted by Granpa Simpson on May 05, 2014; 9:43pm
URL: http://discussion-forum.276.s1.nabble.com/ISI-2014-Q26-Amit-Sir-plz-help-tp7588689.html

Pr{Min(X,Y)<=Z} = Pr(X<=Z,Y<=Z)=Pr(X<=Z)*Pr(Y<=Z) since the are independent,
so Pr{Min(X,Y)<=Z}=Z*Z=Z^2,
Proceeding in similar manner I am getting Pr{Max(X,Y)<=(1-Z)}=(1-Z)^2,
Now (1-Z)^2=Z^2,
using this I am getting Z=1/2 as the answer...Amit sir plz let me know where am I am doing the mistake..!!!!