Q. 2 There are two alternative routes for a ship passage. The sailing times for the two routes are two continuous random variables X and Y that have the joint density function fry(x, y) = {K...

Extracted text: Q. 2 There are two alternative routes for a ship passage. The sailing times for the two routes are two continuous random variables X and Y that have the joint density function fry(x, y) = {K e-0.5(y-*+3); 5 <>< 10,y=""> x – 3 0; e. w. (i) Obtain K so that it is the joint probability density function; (ii) Find the following probabilities (a) P(X < y),="" (b)="" p(x="" 2="" y),="" (c)="" p(x="" +y="" 2="">