Exercise 7. Avian flu is a disease transmitted to humans from birds, Untreated, it has a mortality rate of 60%, meaning that the probability th catches the avian flu dies with probability p = 0.6. In a given city, 20 individuals catch the avian flu. (a) Explain why it makes sense why the number of individuals who using a binomial random variable. (b) Assuming the individuals are untreated, calculate the expected n (c) Calculate the probability that at least one individual survives the (d) Under a new treatment, at least 15 of the 20 individuals survive. that we would see so many individuals surviving if the mortality rate w

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
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Exercise 7. Avian flu is a disease transmitted to humans from birds, and is of global concern.
Untreated, it has a mortality rate of 60%, meaning that the probability that a given individual who
catches the avian flu dies with probability p = 0.6.
In a given city, 20 individuals catch the avian flu.
(a) Explain why it makes sense why the number of individuals who survive could be modeled
using a binomial random variable.
(b) Assuming the individuals are untreated, calculate the expected number who will survive.
(c) Calculate the probability that at least one individual survives the disease.
(d) Under a new treatment, at least 15 of the 20 individuals survive. Calculate the probability
that we would see so many individuals surviving, if the mortality rate were p = 0.6.
Transcribed Image Text:Exercise 7. Avian flu is a disease transmitted to humans from birds, and is of global concern. Untreated, it has a mortality rate of 60%, meaning that the probability that a given individual who catches the avian flu dies with probability p = 0.6. In a given city, 20 individuals catch the avian flu. (a) Explain why it makes sense why the number of individuals who survive could be modeled using a binomial random variable. (b) Assuming the individuals are untreated, calculate the expected number who will survive. (c) Calculate the probability that at least one individual survives the disease. (d) Under a new treatment, at least 15 of the 20 individuals survive. Calculate the probability that we would see so many individuals surviving, if the mortality rate were p = 0.6.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,