设X~N(0,1),则Y=2X+1的概率密度fY(y)=_____.
设X~N(0,1),则Y=2X+1的概率密度fY(y)=_____.
【正确答案】:(1/2√2π)e-(y-1)2/2 由y=2x+1得x=(y-1)/2,x'=1/2 所以 fY(y)=fX(y-1)/2•1/2=(1/2√2π)e-[(y-1)2/8
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