Question

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

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

the value of c?

a) 1; b) 2; c) 1/2; d) 2/3; e) 3/2.

13. In Problem 12, what is the marginal probability density function of X?

a) x/2; b)1; c)1/x; d)x; e)2x.

14. In Problem 12, what is the marginal probability density function of Y ?

a) ln y; b)−ln y; c)1; d)y; e)y2.

15. In Problem 12, what is E[X]?

a) 1; b)2; c)4; d)1/2; e)1/4.

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