Question: Again consider the diagnostic test for HIV discussed in Example 4.13 (page 173) and recall that P (POS HIV) .999 and P ( POS )

Again consider the diagnostic test for HIV discussed in Example 4.13 (page 173) and recall that P (POS HIV) .999 and P ( POS ) .01, where POS denotes a positive test result. Assuming that the percentage of people who have HIV is 1 percent, recalculate the probability that a randomly selected person has HIV, given that his or her test result is positive.

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