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If the pressure in the right tire is 22 psi what is the probability that the left tire has a pressure of at least 25psi? K=3/410,600 K(x^2+y^2). 21<=x<=31, 21<=y<=31 b)compare this to P(Y>=25)= c)if the pessure in the right tire is

If the pressure in the right tire is 22 psi what is the probability that the left tire has a pressure of at least 25psi? K=3/410,600 K(x^2+y^2). 21<=x<=31, 21<=y<=31 b)compare this to P(Y>=25)= c)if the pessure in the right tire is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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a)If the pressure in the right tire is 22 psi what is the probability that the left tire has a pressure of at least 25psi? K=3/410,600

K(x^2+y^2). 21<=x<=31, 21<=y<=31

b)compare this to P(Y>=25)=

c)if the pessure 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?

mit?dep=274217648tags3Dautosave#Q11 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, v) = { K(x² + SKX²+y²) 21 Sx 31, 21 < y < 31 otherwise (a) Determine the conditional pdf of Y given that X = x. 2 for 21 sy 31 (31 + 20530) !! Determine the conditional pdf of X given that Y = y. 十y for 21 x 31 (31y² + 20530) 3. Round your (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 = 410,600 answer to three decimal places.) Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y 2 25) = () 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 Round your answers to two decimal places.) K= 410,600 psi expected pressure psi standard deviation
Transcribed Image Text:mit?dep=274217648tags3Dautosave#Q11 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, v) = { K(x² + SKX²+y²) 21 Sx 31, 21 < y < 31 otherwise (a) Determine the conditional pdf of Y given that X = x. 2 for 21 sy 31 (31 + 20530) !! Determine the conditional pdf of X given that Y = y. 十y for 21 x 31 (31y² + 20530) 3. Round your (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 = 410,600 answer to three decimal places.) Compare this to P(Y 2 25). (Round your answer to three decimal places.) P(Y 2 25) = () 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 Round your answers to two decimal places.) K= 410,600 psi expected pressure psi standard deviation
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