Let X and Y have the following joint probability function. a) Find the probability functions for X + Y, XY, X /Y. (b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y). (c) Find the p.f. ’s of X and of Y. Determine E(X), E(Y), Var(X) and Var(Y).

Let X and Y have the following joint probability function. a) Find the probability functions for X + Y, XY, X /Y. (b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y). (c) Find the p.f. ’s of X and of Y. Determine E(X), E(Y), Var(X) and Var(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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Question

Let X and Y have the following joint probability function.

a) Find the probability functions for X + Y, XY, X /Y.

(b) Using the p.f. ’ s obtained in (a), find E(X + Y), E(XY), E(X/Y), Var(X + Y).

X
у
1
2
3
1 2 3
.1 .1
.1 .2
.1
.1
0 0
.3
0

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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