Using the above table showing SC Adult/Adolescent AIDS cases by sex, exposure ca

Question

Using the above table showing SC Adult/Adolescent AIDS cases by sex, exposure category, and Race, answer the following questions. Suppose we pick a subject at random from this group. What is the probability that this subject will be a woman? What do we call the probability calculated in part a? If we pick a subject at random, what is the probability that the subject will be a woman and have been infected by heterosexual contact? What do we call the probability calculated in part c? Suppose we picked a man at random. Knowing this information, what is the probability that he was infected through injecting drug use? What do we call the probability calculated in part e? Suppose we pick a subject at random. What is the probability that it is a man or someone who was infected by undetermined exposure?

Explanation / Answer

Mistake in the question - THe last value should be 740

1) P( woman) = n(women)/n(total) = 320/(320+420) = 320/740 = 0.4324

2) This is called conditional probability.

3) P(Woman, heterosexual contact) = n(Woman, heterosexual contact)/n(total) = 190/740 =0.2567

4) This is called joint probability.

5) Required probability = 90/420=0.2142

6) This is also conditional probability

7) Required probaility =(80+270) /740= 35/74 = 0.4729

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