G Define two jointly distributed continuous random variables, X and Y, as the fluid velocities measured in meters/second at two different locations, A and B, respectively, in a pipe flow system. The marginal density function for X is . Additionally, the conditional density function is . i. Are X and Y independent? Justify your answer. ii. If the fluid velocity at location A is 0.5 m/s, determine the probability that location B has a fluid velocity that is less than the fluid velocity of location A. iii. Find the probability density function f(x, y). iv. Find the marginal density function h(y). v. Find the conditional density