Let X and Y be two continuous random variables, with the same joint probability density function as in Exercise 9.10. Find the probability P(X 2. The joint probability density function f of the pair...

Let X and Y be two continuous random variables, with the same joint probability density function as in Exercise 9.10. Find the probability P(X

2. The joint probability density function f of the pair (X, Y ) is given by

and
(x, y) = 0 for all other values of x and y. Here K is some positive constant.

a. Find K.

b. Determine the probability P(2X ≤ Y ).