The air pressure in the left and right front tires of a car are random variables \(X\) and \(Y\), respectively. Tires should be filled to 26psi. The joint pdf is
\( f(x,y) = K(x^2+y^2), \quad 20 \leq x,y \leq 30 \)
- What is \(K\) ?
- Are the random variables independent ?
- What is the probability that both tires are underfilled ?
- What is the probability that \( |X-Y| \leq 3 \) ?
- What are the marginal densities ?
