Suppose that Θ and 𝑊 are independent, both with variance 1 , and that 𝑋=Θ+𝑊 . Furthermore, 𝐄[Θ]=1 and 𝐄[𝑊]=2 . The LLMS estimator Θˆ=𝑎𝑋+𝑏 has

Answer 1

0.5 and -0.5 you're welcome