View the step-by-step solution to:

# let Y=5X+epsilon where epsilon ~ N(0,1) and X ~ Unif(-1,1).Assume that X and epsilon are independent. Find E[Y|X=x].

let Y=5X+epsilon

where epsilon ~ N(0,1) and X ~ Unif(-1,1).Assume that X and epsilon are independent.

Find E[Y|X=x].

Please go through... View the full answer

• so E(5X)=5X? X has a uniform distribution. why we don't compute expectation of X?
• hepingtan
• Oct 01, 2018 at 12:20am
• That would be E(E(Y|X=x))....Which is unconditional expectation..Here we are asked to compute the conditional distribution..Which means I have the knowlendge that X=x....Now I want to compute the expected value of Y given this information
• nabaneetdas
• Oct 01, 2018 at 4:34am
• And by the way, E(5X) is not 5X... E(5X)=0 when X has Unif(-1,1) distribution
• nabaneetdas
• Oct 01, 2018 at 4:35am

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents