PLEASE HELP ME!!!

I can not solve them and I can not write them either. I attach them.

Moderator edit:So that the thread does not convoluted and difficult to follow, all replies should be to question 36 ONLY.

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- Dec 2nd 2011, 05:14 PMosodudMulti-variable pdf - a series of questions.
PLEASE HELP ME!!!

I can not solve them and I can not write them either. I attach them.

**Moderator edit:**So that the thread does not convoluted and difficult to follow, all replies should be to question 36 ONLY. - Dec 2nd 2011, 07:28 PMTKHunnyRe: 2 very difficult problems.
Checking

$\displaystyle \frac{1}{8}\int_{0}^{2}\int_{2}^{4}(6-x-y)\;dx\;dy\;=\;1$ -- Check.

$\displaystyle \int_{2}^{4}(6-x-y)\;dx = 10 - 2y$

Checking

$\displaystyle \int_{0}^{2} (10-2y)\;dx = 1$ -- Check

$\displaystyle E[Y] = \int_{0}^{2}y\cdot (10-2y)\;dx = \frac{17}{6}$

$\displaystyle E[Y^{2}] = \int_{0}^{2}y^{2}\cdot (10-2y)\;dx = \frac{25}{3}$

Where shall you go from there? Let's see your efforts.