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3. If X has probability density is given by f(x) e for x>0 (i) Find the moment generating function Iui) = E(e*) = {e fle) メヤ Ect X(1-+) e for Ityo! 十-4 (ii) E(X): Mean u: M= M'Cx) - O(t-1)-1-D C+-1)2 Segond moma 11

3. If X has probability density is given by f(x) e for x>0 (i) Find the moment generating function Iui) = E(e*) = {e fle) メヤ Ect X(1-+) e for Ityo! 十-4 (ii) E(X): Mean u: M= M'Cx) - O(t-1)-1-D C+-1)2 Segond moma 11

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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3. If X has probability density is given by f(x) = e* for x >0 (i) Find the moment generating function u, M) = ECe**) = {e fle) %3D 3= e X(1-+) %3D + -1 for t ナ-4 1センナフ0) (ii) E(X): Mean u: M= M'Cx) =0(t-1)-16-D (+-1)2 ECK) =D (iii) E(X): Second momentu2 1-4tp - OCt-D-2(+-1)<1) (+ -)? %3D
Transcribed Image Text:3. If X has probability density is given by f(x) = e* for x >0 (i) Find the moment generating function u, M) = ECe**) = {e fle) %3D 3= e X(1-+) %3D + -1 for t ナ-4 1センナフ0) (ii) E(X): Mean u: M= M'Cx) =0(t-1)-16-D (+-1)2 ECK) =D (iii) E(X): Second momentu2 1-4tp - OCt-D-2(+-1)<1) (+ -)? %3D
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