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) =each front tire on a particular type of vehicle isk(x2 + y2) 21 ? x ? 30, 21 ? y ? 300 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 =

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.