Answer:
itd x=68 and y=5 I apolgize if its wrong
Answer:
2x+4y=22
-2x+2y=+8
6y=30
y=5
now
replace the value of y in equ i
2x +4y =22
2x+20=22
x=1
Commutative property of multiplication is just mixing up the order but the answer stays the same.
Examples: 4 + 5 + 6 = 6 + 4 + 5 ; (a)(d) = (d)(a) ;
Answer:
(-16)(y) or/and (y)(-16)
(1) Looks like the joint density is

In order for this to be a proper density function, integrating it over its support should evaluate to 1. The support is a triangle with vertices at (0, 0), (4, 0), and (4, 4) (see attached shaded region), so the integral is


(2) The region in which <em>X</em> > 2 and <em>Y</em> < 1 corresponds to a 2x1 rectangle (see second attached shaded region), so the desired probability is

(3) Are you supposed to find the marginal density of <em>X</em>, or the conditional density of <em>X</em> given <em>Y</em>?
In the first case, you simply integrate the joint density with respect to <em>y</em>:

In the second case, we instead first find the marginal density of <em>Y</em>:

Then use the marginal density to compute the conditional density of <em>X</em> given <em>Y</em>:
