A cross-sectional study of injection drug use (IDU) and HIV infection identified

Question

A cross-sectional study of injection drug use (IDU) and HIV infection identified an increased association between IDU and HIV infection as compared to non-IDU. The table below presents their data on this topic:

Injection Drug User

HIV Infected

Yes

No

     Yes

45

78

     No

19

214

A)The probability a participant in this study was an IDU and did not have an HIV infection is _____?

B)The conditional probability distribution of HIV infection among IDU is _____?

Injection Drug User

HIV Infected

Yes

No

     Yes

45

78

     No

19

214

Explanation / Answer

A) P( IDU and did not have an HIV infection)=78/(45+78+19+214)=0.219

B) P(has HIV | is IDU)= P(HIV and IDU)/P(IDU)=45/(45+78)=0.3659

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