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 fxx (x, y) = K (K e-0.5(y-x+3); 5 x - 3 0; е. 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 1)

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A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Q. 2 There are two alternative routes for a ship passage. The sailing times for the two routes are…

A: Since the question has multiple sub parts we will solve the first part only. Please resend the…

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