4. Find the probability that a person who tests positive actually has TB (probability of TB present given a positive result). 5. Find the probability that a person who tests negative does not have TB (probability of no TB given a negative result). 6. Assuming the test result and the TB status are independent, calculate the expected probability of both TB being present and a positive X-ray test.}

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Test for TB
TB absent
TB present
Negative
1739
8
Positive
51
22
Data for TB testing using X-ray imaging
Table shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with
known TB status. Use it to answer the questions below.
1.0
raNdonvariables
tive
la
2.
akkent (falsebitive rateand he pability
3
oaI Of pegative resN
alsenegative kate and the
proba
ODOsitve esult given that TBis plesent (sensitivity).
4. Find the probability that a person who tests positive actually has TB (probability of TB present given
a positive result).
5. Find the probability that a person who tests negative does not have TB (probability of no TB given a
negative result).
6. Assuming the test result and the TB status are independent, calculate the expected probability of
both TB being present and a positive X-ray test.}
7. Under the same assumption, calculate the expected probability of both TB being absent and a
positive X-ray test.
Transcribed Image Text:Test for TB TB absent TB present Negative 1739 8 Positive 51 22 Data for TB testing using X-ray imaging Table shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. 1.0 raNdonvariables tive la 2. akkent (falsebitive rateand he pability 3 oaI Of pegative resN alsenegative kate and the proba ODOsitve esult given that TBis plesent (sensitivity). 4. Find the probability that a person who tests positive actually has TB (probability of TB present given a positive result). 5. Find the probability that a person who tests negative does not have TB (probability of no TB given a negative result). 6. Assuming the test result and the TB status are independent, calculate the expected probability of both TB being present and a positive X-ray test.} 7. Under the same assumption, calculate the expected probability of both TB being absent and a positive X-ray test.
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