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.  A. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3 of the 20 users are HIV positive? B. What is the probability that at least 4 of the 20 users are HIV positive?   Please show me the calculations by hand and not excel, I am trying to learn how to plug in these formulas myself and to solve without computer assistance. TY!

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