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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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