(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

X & Y are independent r.v.s with uniform distribution between 0 and 1.

Z= X/(1+Y)^2

find E[Z].

2. Relevant equations

3. The attempt at a solution

Here is what I did.

E[Z]= E[X]*E[1/(1+Y)^2]

E[X]=1/2

E[1/(1+Y)^2]=?

I think that once I know the distribution of (1+Y)^(-2), I'll be able to find the answer. Is it 1/(1+Y)^2~ U(1,2) ?

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# Probability- expected value of Z, where z= X/(1+y)^2

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