please answer number 1 A study of a particular disease case is carried out to treat thepatient appropriately. If X₁, i = 1,2,.....,10 is the number ofcases in the i-th region that are mutually independentfollowing a distribution with the probability mass function:SAAAAAAAA3* e-3x!1. find the moment generating function of Mx (t)2. if Y = X₁ + X₂+...+ X₁0 is the average case that occurs,then determine the moment generating function of Y,namely My (t)3. Based on the moment generating function of Y,determine the probability mass function of Y4. Calculate the probability that there will be 30 cases ofthe diseaseP(x) =; x = 0,1,2,.......

Answered: study of a particular disease case is…

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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The joint probability mass function of XX and YY is given by p(1,1)=0.45p(2,1)=0.05p(3,1)=0.05p(1,2)=0.05p(2,2)=0.1p(3,2)=0.1p(1,3)=0.05p(2,3)=0.05p(3,3)=0.1p(1,1)=0.45p(1,2)=0.05p(1,3)=0.05p(2,1)=0.05p(2,2)=0.1p(2,3)=0.05p(3,1)=0.05p(3,2)=0.1p(3,3)=0.1 Compute the following probabilities:P(X+Y>3)=P(X+Y>3)=P(XY=2)=P(XY=2)=P(XY>1)=P(XY>1)=
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