Probability

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

Suppose that Y=X^3+W

Find the LMS estimate of Y, given that X=x.
(Notice we are trying to estimate Y from X, not the opposite direction. ) (Your answer should be a function of x.)

Y^LMS(x)= ?

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

Y^LLMS(x)= ?

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  1. can anyone please help here?

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  2. please help :(

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