Consider the random variables X and Y with the joint density function shown to the right.
(a) Find the marginal distributions of X and Y
(b) Find P(X>3.4, Y>0.3).
$\begin{cases} \frac{1}{35}x + \frac{1}{35}y, & 0 \le x \le 5, 0 \le y \le 2\\ 0, & \text{elsewhere} \end{cases}$
(a) Select the correct choice below and fill in the answer box to complete your choice.
A. The marginal distribution of X is g(x)=\boxed{\text{ }}, for 0 ?y?2.
B. The marginal distribution of X is g(x) = \boxed{\text{ }}, for 0?x?5.