P(positive)=P(positive∣COVID)P(COVID)+P(positive∣no COVID)P(no COVID)=0.9(0.001)+0.01(0.999)=0.0009+0.00999=0.01089=1000001089.
It is given that only 0.1% of a large population have COVID infection. In this population, the reliability of COVID RTPCR-test is specified as follows :
For persons having COVID, 90% of the test detects the disease but 10% goes undetected. For persons not having COVID, 99% of the test is judged COVID negative but 1% are diagnosed as COVID positive.
Based on the above informations, answer the question :
The probability that the selected person will be diagonosed as COVID positive is :
Held on 17 Aug 2022 · Verified 13 Jul 2026.
100001008
100000803
100001089
1000001089
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