Suppose a zoo has 200 animals. Assume that for a given animal the probability of developing a disease over 10 years is 1%. Let's say that a zoo has a big disease if there are at least 6 cases over that period (i.e., 300% of the expected number of cases). Q. What is the smallest number of zoos in a city before the probability of a big disease in at least one of these zoo is 0.5 or higher? You can either estimate this explicitly by a formula (note: the CLT does not help and is not needed) or provide a simulation.
Suppose a zoo has 200 animals. Assume that for a given animal the probability of developing a disease over 10 years is 1%. Let's say that a zoo has a big disease if there are at least 6 cases over that period (i.e., 300% of the expected number of cases). Q. What is the smallest number of zoos in a city before the probability of a big disease in at least one of these zoo is 0.5 or higher? You can either estimate this explicitly by a formula (note: the CLT does not help and is not needed) or provide a simulation.
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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Transcribed Image Text:Suppose a zoo has 200 animals. Assume
that for a given animal the probability of
developing a disease over 10 years is 1%.
Let's say that a zoo has a big disease if
there are at least 6 cases over that period
(i.e., 300% of the expected number of
cases).
Q. What is the smallest number of zoos in a
city before the probability of a big disease
in at least one of these zoo is 0.5 or higher?
You can either
estimate this explicitly by a formula (note:
the CLT does not help and is not needed) or
provide a simulation.
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