Imagine that a company develop a new test for HIV, the virus that causes AIDS and report that, "When used by professionals, the test is shown to accurately identify both carriers and non-carriers [of the HIV virus] 95 percent of the time." But a trial conducted by the company that developed the test showed that individuals using the test on themselves at home correctly detected HIV in those carrying the virus only 88 percent of the time. Question 4 Suppose that this test was administered by a professional (instead of at home) to a group of 10,000 people, of which 2% are infected with HIV. What is the total number of HIV positive individuals