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 given below. ・n) = {K(x² + y²) f(x, y) 21 ≤ x ≤ 31, 21 sys 31 otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X, Y) -0.069 (b),Compute.the correlation coefficient p for this X and Y. (Round your answer to four decimal places.) Enter a number. Need Help? Read It Watch

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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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 given below.
・n) = {K(x² + y²)
0
f(x, y)
21 ≤ x ≤ 31, 21 sy s 31
otherwise
(a) Compute the covariance between X and Y. (Round your answer to four decimal places.)
Cov(X, Y) -0.069
(b),Compute.the correlation coefficient p for this X and Y. (Round your answer to four decimal places.)
Enter a number.
Need Help? Read It
Watch t
Transcribed Image Text: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 given below. ・n) = {K(x² + y²) 0 f(x, y) 21 ≤ x ≤ 31, 21 sy s 31 otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X, Y) -0.069 (b),Compute.the correlation coefficient p for this X and Y. (Round your answer to four decimal places.) Enter a number. Need Help? Read It Watch t
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