E[(X-1)(X-2)]=1E(X*X-3X+2)=1E(X*X)-3E(X)+2=1而E(X)=λ,E(X*X)-[E(X)]^2=λ,即E(X*X)=λ*λ+λ所以λ*λ+λ-3λ+1=0λ*λ-2λ+1=0λ=1