Suppose that X1, X2, X3 are independent with the common probability mass function: P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3 a. Plot the probability mass function of X2_average = (X1 + X2)/ 2 b. Determine E [X2_average] and Var [X2_average] c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3 d. Determine E [X3_average] and Var [X3_average]

Suppose that X1, X2, X3 are independent with the common probability mass function: P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3 a. Plot the probability mass function of X2_average = (X1 + X2)/ 2 b. Determine E [X2_average] and Var [X2_average] c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3 d. Determine E [X3_average] and Var [X3_average]

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

Suppose that X1, X2, X3 are independent with the common probability mass function:

P{Xi = 0} = 0.2, P{Xi =1} = 0.3, P{Xi = 3} = 0.5 i =1, 2,3

a. Plot the probability mass function of X2_average = (X1 + X2)/ 2

b. Determine E [X2_average] and Var [X2_average]

c. Plot the probability mass function of X3_average = (X1 + X2 + X3)/ 3

d. Determine E [X3_average] and Var [X3_average]

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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