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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: P(x) = SAAAAAAAn 3* e-3 ; x = 0,1,2,....... 1. find the moment generating function of My(t) 2. if Y = X₁ + X₂+...+ X₁0 is the average case that occurs, then determine the moment generating function of Y, namely My (t)

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: P(x) = SAAAAAAAn 3* e-3 ; x = 0,1,2,....... 1. find the moment generating function of My(t) 2. if Y = X₁ + X₂+...+ X₁0 is the average case that occurs, then determine the moment generating function of Y, namely My (t)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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