In: Math
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 + y2) 22 ≤ x ≤ 30, 22 ≤ y ≤ 30 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.) ρ =