Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the dengue virus, and one study showed that, of all mosquitoes that carried serotype A, a proportion of 0.36 also carried serotype B. If the proportion of serotypes A and B in the mosquito population are 0.5 and 0.54, respectively, what is the probability that a randomly selected mosquito carrying serotype B also carries serotype A? Round your answer to five decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the
dengue virus, and one study showed that, of all mosquitoes that carried serotype A, a
proportion of 0.36 also carried serotype B. If the proportion of serotypes A and B in the
mosquito population are 0.5 and 0.54, respectively, what is the probability that a randomly
selected mosquito carrying serotype B also carries serotype A? Round your answer to five
decimal places.
Transcribed Image Text:Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the dengue virus, and one study showed that, of all mosquitoes that carried serotype A, a proportion of 0.36 also carried serotype B. If the proportion of serotypes A and B in the mosquito population are 0.5 and 0.54, respectively, what is the probability that a randomly selected mosquito carrying serotype B also carries serotype A? Round your answer to five decimal places.
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