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.
f(x,y) = k(x2 + y2), when 20 ≤ x ≤ 30, 20≤ y ≤ 30, and
f(x,y) = 0 (otherwise)
A. What is the value of k.
B. what is the probability that both tires are underfilled?
C. What is the marginal distribution of air pressure in theright tire?
