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 SAAAAAAAA following 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 P(x) =
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 SAAAAAAAA following 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 P(x) =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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please answer number 4
![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,.......](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd9be395-8847-4e35-811d-0c8042dacb9e%2F280ba3ee-9411-4f08-bf90-9debe07c0934%2Fvjyapde_processed.jpeg&w=3840&q=75)
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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