This is a subjective question, hence you have to write your answer in the Text-Field given below. 76360 Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 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 26 psi. Supon Sk(x² -{k(₂² + y²), f(x, y) = if 20 ≤ x ≤ 30, 20 ≤ y ≤ 30, otherwise. a. What is the value of k? b. What is the probability that both tires are under filled? c. What is the probability that the difference in air pressure between the two tires is at most 2 psi? d. Determine the (marginal) distribution of air pressure in the right tire alone. e. Are X and Y independent rv's? [8]
