Let X and Y be two continuous random variables with joint probability density function and f(x, y) = 0 otherwise. b. Determine the joint distribution function of X and Y for a and b between 0 and 1....

Let X and Y be two continuous random variables with joint probability density function

and f(x, y) = 0 otherwise.

b. Determine the joint distribution function of X and Y for a and b between 0 and 1.

c. Use your answer from b to find FX(a) for a between 0 and 1.

d. Apply the rule on page 122 to find the probability density function of X from the joint probability density function f(x, y). Use the result to verify your answer from c. e. Find out whether X and Y are independent.