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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 32E

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Question

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.
= {K(x² + y²)
f(x, y) =
21 ≤ x ≤ 32, 21 ≤ 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.)
p =

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