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PROBLEM 1 Let X be a discrete random variable with pmf p(x|0), 0 = {1,2,3}. One data point x is taken from p(x|0). Find the MLE of 0. X 0 1 2 3 4 p(x | 1) 1/3 1/3 0 1/6 1/6 p(x | 2) p(x 3) 1/4 1/4 1/4 1/4 0 0 0 1/4 1/2 1/4

PROBLEM 1 Let X be a discrete random variable with pmf p(x|0), 0 = {1,2,3}. One data point x is taken from p(x|0). Find the MLE of 0. X 0 1 2 3 4 p(x | 1) 1/3 1/3 0 1/6 1/6 p(x | 2) p(x 3) 1/4 1/4 1/4 1/4 0 0 0 1/4 1/2 1/4

MATLAB: An Introduction with Applications
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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PROBLEM 1 Let X be a discrete random variable with pmf p(x|0), 0 = {1,2,3}. One data point x is taken from p(x|0). Find the MLE of 0. x 0 1 2 3 4 p(x | 1) p(x | 2) p(x|3) 1/3 1/4 0 1/3 1/4 0 1/4 1/4 1/4 0 0 1/6 1/6 1/2 1/4
Transcribed Image Text:PROBLEM 1 Let X be a discrete random variable with pmf p(x|0), 0 = {1,2,3}. One data point x is taken from p(x|0). Find the MLE of 0. x 0 1 2 3 4 p(x | 1) p(x | 2) p(x|3) 1/3 1/4 0 1/3 1/4 0 1/4 1/4 1/4 0 0 1/6 1/6 1/2 1/4
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Step 1: Given information

Let X be a discrete random variable with pmf p open parentheses x vertical line theta close parentheses, theta element of open curly brackets 1 comma space 2 comma space 3 close curly brackets.

x

p left parenthesis x vertical line 1 right parenthesis
p left parenthesis x vertical line 2 right parenthesis
p open parentheses x vertical line 3 close parentheses
0 1 third 1 fourth0
1 1 third 1 fourth0
20 1 fourth 1 fourth
31 over 6 1 fourth 1 half
4 1 over 60 1 fourth
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