study of a particular disease case is carried out to treat the atient appropriately. If X₁, i=1,2,....., 10 is the number of ases in the i-th region that are mutually independent wwwwww ollowing a distribution with the probability mass function: 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 (x) = ; x = 0,1,2,.......
study of a particular disease case is carried out to treat the atient appropriately. If X₁, i=1,2,....., 10 is the number of ases in the i-th region that are mutually independent wwwwww ollowing a distribution with the probability mass function: 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 (x) = ; x = 0,1,2,.......
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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please answer number 3
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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