例2已知X的概率分布为p(x)=,x=1,2, 求Y=sin“X的概率分布 x=4k-1 解 x SIn x=4-3k=1.2.3 0 x=2k Py=1∑x=4k-3y∑ 8 2 4-3 115 16例2 已知X 的概率分布为 ( ) = , x = 1,2, 2 1 p x x 解 求 的概率分布      = X 2 Y sin  P Y{ 1} = 1 { 4k 3} k P X  =   = = −        = = k 1 4k-3 2 1 15 8 16 1 2 1 =       − = 1 1 4 -1 sin 1 4 - 3 1,2,3, 2 0 2 − =      = = =      = x k x x k k x k 