Q. 4 Let X and Y be two continuous random variables with following joint probability density function SK (x² + y²); 0< x< 1,0 < y<1 fxx(x,y) = }K 0; e.w. (i) Obtain K so that it is the joint probability density function; (ii) Find cumulative distribution function Fx,y(x,y); (iii) Find the following probabilities (a) P(X <;,Y <), (b) P(X > Y), (c) P(X +Y > 1) (iv) Graph pdf and cdf.

Q. 4 Let X and Y be two continuous random variables with following joint probability density function SK (x² + y²); 0< x< 1,0 < y<1 fxx(x,y) = }K 0; e.w. (i) Obtain K so that it is the joint probability density function; (ii) Find cumulative distribution function Fx,y(x,y); (iii) Find the following probabilities (a) P(X <;,Y <), (b) P(X > Y), (c) P(X +Y > 1) (iv) Graph pdf and cdf.

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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