Say we have four sided dice (sides of 1, 2, 3, and 4, and each side is equally likely). A pair offour sided dice are to be rolled. Let X denote the sum of the two numbers that show up, and let Ydenote the absolute value of their difference.a. Compute the joint probability mass function of X and Y, f(x,y) = P(X = x,Y = y) (Hint: Xcan be 2,3,4,5,6,7,8 and Y can be 0,1,2,3). Create a table.b. Compute the marginal pmfs of X and Y. Create tables.c. Find the conditional pmf of X given Y=0. Create table.d. Compute the expectation of X, E(X) and the expectation of Y, E(Y).e. Compute E(XY).f. Compute the covariance of X and Y, cov(X,Y).g. Are X and Y independent? Why or why not.

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Answered: Say we have four sided dice (sides of…

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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