6:36 M DD •Vol) LTE 2LTE1 41You1 minute ago(c) The joint probability density function f of the pair (X,Y) is given byforo s xs land 0 s ys 2,and f(x, y) = 0 for all other values of x and y. Here K is some positiveS(x, y) = K(3x + 8xy),constant.(i) Find K.(ii) Determine the marginal density functions of X and.(iii) Determine the joint distribution function of X and Y.(iv) Find out whether X and Y are independent.141II

Hi! Thank you for the question. AS per the honor code, we are allowed to answer the three sub-parts…

(c) The joint probability density function f of the pair (X, Y) is given by (Cr. y) = K(3x + 8xy), for0 s Is 1 and 0 sys2, foro s xs 1 and 0 sys2, and f(x, y) = O for all other values of x and y. Here K is some positive constant. (i) Find K. (ii) Determine the marginal density functions of X and (iii) Determine the joint distribution function of X and Y.

(c) The joint probability density function f of the pair (X, Y) is given by (Cr. y) = K(3x + 8xy), for0 s Is 1 and 0 sys2, foro s xs 1 and 0 sys2, and f(x, y) = O for all other values of x and y. Here K is some positive constant. (i) Find K. (ii) Determine the marginal density functions of X and (iii) Determine the joint distribution function of X and Y.

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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