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Each front tire on a particular type of vehicle is supposed to be filled to a...

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Basic Math

Each front tire on a particular type of vehicle is supposed tobe filled to a pressure of 26 psi. Suppose the actual air pressurein each tire is a random variable—X for the right tire and Y forthe left tire, with joint pdf given below. f(x, y) = K(x2 + y2) 22? x ? 30, 22 ? y ? 30 0 otherwise

(a) Compute the covariance between X and Y. (Round your answerto four decimal places.) Cov(X, Y) =

(b) Compute the correlation coefficient p for this X and Y.(Round your answer to four decimal places.) ? =

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