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help please Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual

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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 + 2) 21 5 x s 31, 21 sys 31 otherwise (a) Determine the conditional pdf of Y given that X = x. frix(y/x) = for 21 S y S 31 Determine the conditional pdf of X given that Y = y. fxly(xly) = 0.0102 for 21 S x S 31 X (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 = 3 410,600 Round your answer to three decimal places.) Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y 2 25) = (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 = 410600 3 Round your answers to two decimal places.) expected pressure psi standard deviation psi

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