Question 5: What is the distribution of n X?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:The inhabitants of a city develop skin cancer at an approximate rate A. For those
people who have developed skin cancer, some proportion p E (0, 1) will die from the
disease.
Assume a simple model such that n, the number of people who develop skin cancer, is
distributed Poisson(A). Let X denote the people who die from skin cancer in this city.
Then, assuming that every cancer patient is independent of the others, and that the
proportion p is constant:
n ~ Poisson(X)
X\n - Binomial(n, p)
Question 5:
What is the distribution of n X?
n – X|X
~ Binomial
X(1-p)
1- p
We do not have enough information to answer this question.
n|X
Poisson(Xp)
On - X|X ~ Poisson(A(1 – p)
1
for n > x
n|X ~ fn|x (n|x) =
n!
1- Di-o
i!
0.w.
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