The joint PDF of two jointly continuous random variables X and Y is Sc(a? + y²) for 0 < x < 1 and 0 < y< 1, fx,y (x, y) = otherwise. c = 3/2. E(Y) = 5/8. X and are negatively correlated

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The joint PDF of two jointly continuous random variables X and Y is
S c(x? + y?) for 0 < x < 1 and 0 < y < 1,
fx,x(x, y)
otherwise.
c = 3/2.
E(Y)= 5/8.
X and Y are negatively correlated.
Ε (Υ| Χ) =
3(2X2 + 1)
4(3X² + 1)'
Verify that E [E(Y|X)] = E(Y).
Transcribed Image Text:The joint PDF of two jointly continuous random variables X and Y is S c(x? + y?) for 0 < x < 1 and 0 < y < 1, fx,x(x, y) otherwise. c = 3/2. E(Y)= 5/8. X and Y are negatively correlated. Ε (Υ| Χ) = 3(2X2 + 1) 4(3X² + 1)' Verify that E [E(Y|X)] = E(Y).
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