a)
this is uniform distribution of triangle formed by points(0,0), (
1,1) , (1,-1)
Area = 1/2 * 1 * ( 1- (-1)) = 1
hence
c = 1
b)
f(x) =
c)
f(y|X = x) = f(x,y)/f(x) = 1 / (2x) |y| < x
= 0 otherwise
e)
X and Y are not independent as f(x,y) is not equal to f(x)f(y)
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