(Steps Shown) [3+3+4= 10 pts] If Y ~Uniform(0, 1) and X |Y ~ Uniform (-(1-Y),1-Y). Find the PDF of X. Find the mean and variance of X. Find the conditional
Question: [3+3+4= 10 pts]
If Y ~Uniform(0, 1) and X |Y ~ Uniform \(\left( -\left( 1-Y \right),1-Y \right)\).
- Find the PDF of X.
- Find the mean and variance of X.
- Find the conditional mean and variance of Y given X = 2/3.
Deliverable: Word Document 
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