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. 1) = {K(x² + y²) f(x, y) = + y2) 22 ≤ x ≤ 32, 22 ≤ y ≤ 32 otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X,Y)= (b) Compute the correlation coefficient p for this X and Y. (Round your answer to four decimal places.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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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.
f(x, y)
= {K(x².
√K(x² + y²) 22 ≤ x ≤ 32, 22 ≤ y ≤ 32
0
otherwise
(a) Compute the covariance between X and Y. (Round your answer to four decimal places.)
Cov(x, y) =
(b) Compute the correlation coefficient p for this X and Y. (Round your answer to four decimal places.)
P =
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. f(x, y) = {K(x². √K(x² + y²) 22 ≤ x ≤ 32, 22 ≤ y ≤ 32 0 otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(x, y) = (b) Compute the correlation coefficient p for this X and Y. (Round your answer to four decimal places.) P =
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