4. [0.53/3.21 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 5.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER + Each fr

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4 0 53 3 21 Points Details Previous Answers Devorestat9 5 1 019 My Notes Ask Your Teacher Practice Another Each Fr 1 (88.88 KiB) Viewed 20 times

4. [0.53/3.21 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 5.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER + 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 + y2) 21 5 x 5 31, 21 Sy s 31 otherwise (a) Determine the conditional pdf of Y given that X = X. k(x2 + y2) frix(yx) = for 21 Sys 31 +0.0500 10² 102x2 Determine the conditional pdf of X given that y = y. k(x2 + y2) 10kr? -0.0500 + fxlyxly) = for 21 SXS 31 x 3 3 410,600 (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 = 0.645 x Round your answer to three decimal places.) Compare this to P(Y2 25). (Round your answer to three decimal places.) P(Y 25) = 3 (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 = Round your answers to two decimal places.) 410,600 expected pressure standard deviation 23.38 2.83 X psi X psi Need Help? Read It Submit Answer