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 variableX for the right tire and onr the left tire, with joint pdf X y)={K(x2+y2) 20$X530,205ys30 ' 0 otherwise (a) Determine the conditional pdf of Y given that X = x. klx2+y2l 10kx2 + 0.0500 fy]x(YIX)= y for205y530 Determine the conditional pdf ofX given that Y = y. k!x2+y2! 10ky2 + 0.0500 fXIY(X|y)= y for20$xs30 (b) 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? (It is known that K = . Round your answer to three decimal places.) X Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y 2 25) = x (c) 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 deviation of pressure in this tire? (It is known that K = L. Round your answers to two decimal places.) 380,000 expected pressure x psi standard deviation x psi