In: Math
. The joint probability density function of X and Y is given by
?(?, ?) = { ??^2? ?? 0 ≤ ? ≤ 2, 0 ≤ ?, ??? ? + ? ≤ 1
0 ??ℎ??????
(a) Determine the value of c.
(b) Find the marginal probability density function of X and Y.
(c) Compute ???(?, ?).
(d) Compute ???(?^2 + ?).
(e) Determine if X and Y are independent