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A study considered risk factors for HIV infection among intravenous drug users [11]. It found that 40% of users who had 100 injections per month

A study considered risk factors for HIV infection among

intravenous drug users [11]. It found that 40% of users who

had <= 100 injections per month (light users) and 55% of users

who had > 100 injections per month (heavy users) were

HIV positive.What is the probability that at least 4 of the 20 users

are HIV positive?

Trying to solve this in stata. I know that it is some kind of combination of binomials, but I am not certain how to combine and solve this. I saw examples elsewhere of people solving this but it was unclear to me the way they did it and why...

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