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(e) Are X and Y independent rv's? (f) Determine the conditional pdf of Y given that X = x and the conditional pdf of X given that Y = y. (g) If the pressure in the right tire is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi? (h) If the pressure in the right tire is found to be 22 psi, what is the expected pressure in the left tire?Problem 3. (40 pts) Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable X for the right tire and Y for the left tire, with joint pdf f (x, y) = k(x2 + y?) 20