determine the posterior probability that the person is infected by the parasite.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A certain malaria detecting has a known reliability. When administered to a person infected by malaria parasite, the test will indicate the presence of the parasite with 0.90 probability. When administered to a healthy person, the probability that it will give erroneous result is 0.035. The reagent is used to test for malaria in a relatively malaria-free community with an infection rate of 0.05% of the population. Suppose a person selected at random from the entire population is administered the test and the result is positive, determine the posterior probability that the person is infected by the parasite.
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