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In: Statistics and Probability

Let X and Y be two jointly continuous random variables with joint PDF f(x,y) = Mxy^2...

Let X and Y be two jointly continuous random variables with joint PDF

f(x,y) = Mxy^2
0<x<y<1

a) Find M = ?
b) Find the marginal probability densities.
c) P( y> 1/2 | x = .25) = ?

d) Corr (x,y) = ?

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