Using a Two-Way Table The New York State Health Department reports a 0.3% HIV rate for the general population, and under certain conditions, preliminary screening tests for the HIV virus are correct 95% of the time (for both true positives and true negatives). Assume that the general population consists of 100,000 people.

a. Construct a table with a format similar to Table 3-1.

b. Using the table from part (a), find P(HIV k positive) for someone randomly selected from the general population. That is, find the probability of randomly selecting someone with HIV, given that this person tested positive.