概率伦与数程统外 P(max(X,Y)=i) 0 1 =PX=i,Y<i 0 1/22 1/22 +P{X≤i,Y=i} 1 1/22 1/22 →P{max(X,Y)=0=P{0,0} 1 22 P{max(X,Y)=1FP{1,0}+P{0,1}+P{1,1} 1,113 22 23+ 2222 故Z=max(X,Y)Z 0 的分布律为 4 P{max(X,Y ) = i} = P{X = i,Y  i} + P{X  i,Y = i}  P{max(X,Y ) = 0}= P{0,0} , 2 1 2 = P{max(X,Y ) = 1}= P{1,0}+ P{0,1}+ P{1,1} 2 2 2 2 1 2 1 2 1 = + + . 2 3 2 = 的分布律为 故Z = max( X,Y ) Z P 0 1 4 3 4 1 X Y 0 1 1 0 2 1 2 2 1 2 2 1 2 2 1 2