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Assume the probability of contracting COVID- 19 is 0.09(p(C=1)=0.09). Assume the probability of COVID antibody test of a person becomes positive given the person has
Assume the probability of contracting COVID- 19 is 0.09(p(C=1)=0.09). Assume the probability of COVID antibody test of a person becomes positive given the person has COVID-19 is 0.90(p(T=1C=1)=0.9) and the probability of COVID antibody test of a person becomes negative given the person does not have COVID-19 is 0.99(p(T=0C=0)=0.99). What is the probability of a person having COVID-19 given his/her antibody test is positive (p(C=1T=1)) ? Hint: You need to use the Bayes rule
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