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Assume that the frequency where a person acquires a fever in a month is given by a Poisson random variable, where lambda is equals to 7. Then after some time, a new medicine is discovered which will lessen the frequency a person gets a fever in a month to lambda equals to 4. Furthermore, this new medicine is studied to be effective for eighty percent of the world population. However, for the remaining parts of the population, the new medicine has no effect whatsoever. If person A tried out the new medicine for a month and had a fever three times in that period, find the probability that the new medicine is proven to be effective for person A

Assume that the frequency where a person acquires a fever in a month is given by a Poisson random variable, where lambda is equals to 7. Then after some time, a new medicine is discovered which will lessen the frequency a person gets a fever in a month to lambda equals to 4. Furthermore, this new medicine is studied to be effective for eighty percent of the world population. However, for the remaining parts of the population, the new medicine has no effect whatsoever. If person A tried out the new medicine for a month and had a fever three times in that period, find the probability that the new medicine is proven to be effective for person A

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Hint: Use Poisson Distribution of discrete probability

Assume that the frequency where a person acquires a fever in a month is given by a Poisson random variable, where lambda is equals to 7. Then after some time, a new medicine is discovered which will lessen the frequency a person gets a fever in a month to lambda equals to 4. Furthermore, this new medicine is studied to be effective for eighty percent of the world population. However, for the remaining parts of the population, the new medicine has no effect whatsoever. If person A tried out the new medicine for a month and had a fever three times in that period, find the probability that the new medicine is proven to be effective for person A
Transcribed Image Text:Assume that the frequency where a person acquires a fever in a month is given by a Poisson random variable, where lambda is equals to 7. Then after some time, a new medicine is discovered which will lessen the frequency a person gets a fever in a month to lambda equals to 4. Furthermore, this new medicine is studied to be effective for eighty percent of the world population. However, for the remaining parts of the population, the new medicine has no effect whatsoever. If person A tried out the new medicine for a month and had a fever three times in that period, find the probability that the new medicine is proven to be effective for person A
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