Q4 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, withjoint pdff(x, y) =1) = {K₁x² + y²)22 ≤ x ≤ 32, 22 ≤ y ≤ 32otherwise0(a) Determine the conditional pdf of Y given that X = x.fxxx(x) -for 22 ≤ y ≤ 32Determine the conditional pdf of X given that Y = y.fx|yx|y) =for 22 ≤ x ≤ 323Round your answer to three decimal(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 =places.)442,400Compare this to P(Y ≥ 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.)442,400expected pressurepsistandard deviationpsi

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Answered: Each front tire on a particular type of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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