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(3-x+y); 5 x – 303;fxy(x, y) =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 >Y), (c)P(X +Y 2 1)

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

ntinuous random variables X and Y that h the joint density function fxx (x, y) = * (Ke-0.5(3-x+y); 5 x – 3 03; 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), P(X +Y 2 1)

ntinuous random variables X and Y that h the joint density function fxx (x, y) = * (Ke-0.5(3-x+y); 5 x – 3 03; 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), 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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Question

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
(K e-0.5(3-x+y); 5<x< 10, y > x – 3
03;
fxy(x, y) =
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 >Y), (c)
P(X +Y 2 1)

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