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6. Use the information given in Problem 3 above to find the MLE of the probability P(X> 1/3) and the second moment E(X2).

6. Use the information given in Problem 3 above to find the MLE of the probability P(X> 1/3) and the second moment E(X2).

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 6

6. Use the information given in Problem 3 above to find the MLE of the probability P(X> 1/3) and the second moment E(X²). 1
Transcribed Image Text:6. Use the information given in Problem 3 above to find the MLE of the probability P(X> 1/3) and the second moment E(X²). 1
3. Suppose X₁, ..., Xn are iid from a distribution with the pdf - {.. f(x; 0) = for some > 0. Find the MLE of 0. Oe-0xx > 0 otherwise
Transcribed Image Text:3. Suppose X₁, ..., Xn are iid from a distribution with the pdf - {.. f(x; 0) = for some > 0. Find the MLE of 0. Oe-0xx > 0 otherwise
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Step 1

 x1,…xn: iid observations with pdf

f(x;θ)=θe−θx,x>0,θ>00, otherwise

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