with Covid-19. If Javier's test is positive for Covid-19, to the nearest 3rd decimal place, what is the probability that Javier actually has Covid-19 at the time of testing?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Probability of Having Covid-19 with a Positive Test Result**

The Curative nasal swab test offered by UTA for Covid-19 testing has a false positive rate of 2% and a false negative rate of 5%. Assume that Javier takes this test at a time when 1% of UTA students are actively infected with Covid-19. If Javier's test is positive for Covid-19, to the nearest 3rd decimal place, what is the probability that Javier actually has Covid-19 at the time of testing?

- ☐ 0.677
- ☐ 0.324
- ☐ 0.500
- ☐ It cannot be from the given information.
Transcribed Image Text:**Probability of Having Covid-19 with a Positive Test Result** The Curative nasal swab test offered by UTA for Covid-19 testing has a false positive rate of 2% and a false negative rate of 5%. Assume that Javier takes this test at a time when 1% of UTA students are actively infected with Covid-19. If Javier's test is positive for Covid-19, to the nearest 3rd decimal place, what is the probability that Javier actually has Covid-19 at the time of testing? - ☐ 0.677 - ☐ 0.324 - ☐ 0.500 - ☐ It cannot be from the given information.
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