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, wiht joint pdff(x, y) = {k(x2 + y2) 0 20 le x le 30 and 20 le1) what is the value of k? 2) what is the probability that both tires are underfilled? 3) what is the probability that the difference in air pressure between the two tires is at most 2 psi? 4) determine the marginal distribution of air pressure in the right tire alone.5) are x and y independent random variables? 6) determine the conditional pdf of y given that x=x and the conditional pdf of x given that y=y.7) 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? compare this to p(y> =25)8) if the pressure in the right tire is found to be 22 psi, what is the expected pressure in the left tire, and what is the standard deivation of pressure in this tire?