Let X and W be independent and uniformly distributed on [1,1] . We have given the following facts: E[X]=E[X 3 ]=E[X 5 ]=0 E[X 2 ]=1/3 E[X 4 ]=1/5...

Let X and W be independent and uniformly distributed on [−1,1] . We have given the following facts:

E[X]=E[X3]=E[X5]=0 

E[X2]=1/3 

E[X4]=1/5 

Suppose that

Y=X3+W

1.Find the LLMS estimate for Y , given that X=x . (Your answer should be a function of x .)