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2. If the mgf of X is M(t) = a) E(X) and Var(X). b) P(4.25 < X < 4.7) St_e3t -e 2t for t0, and M(0) = 1, find

2. If the mgf of X is M(t) = a) E(X) and Var(X). b) P(4.25 < X < 4.7) St_e3t -e 2t for t0, and M(0) = 1, find

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** 2. If the mgf of \( X \) is \( M(t) = \frac{e^{5t} - e^{3t}}{2t} \) for \( t \neq 0 \), and \( M(0) = 1 \), find a) \( E(X) \) and \( Var(X) \). b) \( P(4.25 < X < 4.7) \).
Transcribed Image Text:**Problem** 2. If the mgf of \( X \) is \( M(t) = \frac{e^{5t} - e^{3t}}{2t} \) for \( t \neq 0 \), and \( M(0) = 1 \), find a) \( E(X) \) and \( Var(X) \). b) \( P(4.25 < X < 4.7) \).
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M(t)=e5t−e3t2t

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