f(x, y): ) = {K(x² + x²) [K(x² + y²) 20 ≤ x ≤ 30, 20 ≤ y ≤ 30 otherwise (a) Determine the conditional pdf of Y given that X = x. fy|x(y|x) = for 20 ≤ y ≤ 30 Determine the conditional pdf of X given that Y = y. fxx(xly) = for 20 ≤ x ≤ 30 3 (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.) 380,000 Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y ≥ 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 = 3 380,000 expected pressure psi psi standard deviation Round your answers to two decimal places

f(x, y): ) = {K(x² + x²) [K(x² + y²) 20 ≤ x ≤ 30, 20 ≤ y ≤ 30 otherwise (a) Determine the conditional pdf of Y given that X = x. fy|x(y|x) = for 20 ≤ y ≤ 30 Determine the conditional pdf of X given that Y = y. fxx(xly) = for 20 ≤ x ≤ 30 3 (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.) 380,000 Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y ≥ 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 = 3 380,000 expected pressure psi psi standard deviation Round your answers to two decimal places

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

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