a) P(X/Y
=1-P(X/Y>=t)
=1-1/(2t)
0<=t<=1时
=t/2
t<0时
=0
b)P(XY
=(t)+tln(x) (t~1)
=t-tln(t)
(0
=0(t<=0)
=1(t>1)
c)
P(XY
=∫(0~1) (zt)-ztln(z)-ztln(t) dz
={t-tln(t)}z²/2 -t∫(0~1) zln(z) dz
={t-tln(t)}z²/2 -t∫(0~1) zln(z)+z²/2(1/z)-z/2 dz
={t-tln(t)}z²/2 -t{z²ln(z)/2-z²/4} (z:0~1)
=[t-tln(t)]/2+t/4
若(t>0)
P(XY/Z
(若t<=0)
P(XY/Z