Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 24 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) 20 ≤ x ≤ 30, 20 ≤ y ≤ 30
0 otherwise
(a) What is the probability that both tires are underfilled? (b) What is the probability that the difference in air pressure between the two tires is at most 2 psi?
(c) Determine the (marginal) distribution of air pressure in the right tire alone.for 20 ≤ x ≤ 30

Question

Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 24 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)		  		20 ≤ x ≤ 30, 20 ≤ y ≤ 30
0		  		otherwise
 (a) What is the probability that both tires are underfilled? (b) What is the probability that the difference in air pressure between the two tires is at most 2 psi? 
(c) Determine the (marginal) distribution of air pressure in the right tire alone.for 20 ≤ x ≤ 30

anonymous · Answer

its b