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Show that a geometric distribution with parameter p has variance (1 - p)/p². To do this, note the variance is E[X²] - E[X]². Now use the results of the previous exercises to show that = E[X²]=i²(1-p)(¹-1) p = i=1 then rearrange to get the expression for variance. p (1-p)(2-p) 1-p p³

Show that a geometric distribution with parameter p has variance (1 - p)/p². To do this, note the variance is E[X²] - E[X]². Now use the results of the previous exercises to show that = E[X²]=i²(1-p)(¹-1) p = i=1 then rearrange to get the expression for variance. p (1-p)(2-p) 1-p p³

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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Show that a geometric distribution with parameter p has variance (1 - p)/p². To do this, note the variance is E[X²] - E[X]². Now use the results of the previous exercises to show that = E[X²]=i²(1-p)(¹-1) p = i=1 then rearrange to get the expression for variance. p (1-p)(2-p) 1-p p³
Transcribed Image Text:Show that a geometric distribution with parameter p has variance (1 - p)/p². To do this, note the variance is E[X²] - E[X]². Now use the results of the previous exercises to show that = E[X²]=i²(1-p)(¹-1) p = i=1 then rearrange to get the expression for variance. p (1-p)(2-p) 1-p p³
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