study of a particular disease case is carried out to treat the tient appropriately. If X₁, i = 1,2,.....,10 is the number of ses in the i-th region that are mutually independent SAAAAAAAn lowing a distribution with the probability mass function: 3* e-3 x) = ; x = 0,1,2,....... 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 Y 4. Calculate the probability that there will be 30 cases of the disease

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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please answer number 1
A study of a particular disease case is carried out to treat the
patient appropriately. If X₁, i = 1,2,.....,10 is the number of
cases in the i-th region that are mutually independent
following a distribution with the probability mass function:
SAAAAAAAA
3* e-3
x!
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 Y
4. Calculate the probability that there will be 30 cases of
the disease
P(x) =
; x = 0,1,2,.......
Transcribed Image Text:A study of a particular disease case is carried out to treat the patient appropriately. If X₁, i = 1,2,.....,10 is the number of cases in the i-th region that are mutually independent following a distribution with the probability mass function: SAAAAAAAA 3* e-3 x! 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 Y 4. Calculate the probability that there will be 30 cases of the disease P(x) = ; x = 0,1,2,.......
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