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
f(x, y) =
K(x2 + y2) 18 ≤ x ≤ 28, 18 ≤ y ≤ 28
0 otherwise
(a) Determine the conditional pdf of Y given that X = x.
fY|X(y|x) =
for 18 ≤ y ≤ 28