Each front tire on a particular type of vehicle is supposed

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 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.)

Solution