Q. 2 There are two alternative routes for a ship passage. The sailing timesfor the two routes are two continuous random variables X and Y that havethe joint density function(K e-0.5(y-x+3); 5 x – 3fxy (x, y) =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 1)

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)

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)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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