Question

Let f(x, y) = c/x, 0 < y < x < 1 be the joint density...

Let f(x, y) = c/x, 0 < y < x < 1 be the joint density function of X and Y .

a) What is the value of c?
a) 1   b) 2 c) 1/2 d) 2/3 e) 3/2

b)what is the marginal probability density function of X?
a) x/2 b)1 c)1/x d)x e)2x

c)what is the marginal probability density function of Y ?
a) ln y   b)−ln y c)1 d)y e)y2

d)what is E[X]?
a)1 b)2 c)4 d)1/2 e)1/4

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