Uniform random variables MSE minimization problem

[rsingh628]

Hi all,

I am quite unsure of my answers to the following MSE minimization problem involving a uniform random variable. Would anyone be willing to help, since I cannot quite wrap my head some of these advanced concepts (at least to me). I attempted all parts, and some of the answers make sense, others maybe not. Thanks in advance!

Question


Here's my attempt thus far:

 

[blamocur]

For whatever it is worth, (a) and (b) look correct to me.

 

[rsingh628]

For whatever it is worth, (a) and (b) look correct to me.

Thanks for your feedback. For parts (c) and (d), I used the following notes that I found online: