Most medical tests are not completely accurate. For example, a microscopy test for tuberculosis comes out positive with probability 0.01 when the tested individual doesn't actually have tuberculosis. It comes out negative with probability 0.2 when the tested individual does have tuberculosis. Find the probability a randomly chosen individual will test positive if the proportion of tuberculosis in the population is 0.04. Round your answer to five decimal places. Answer:Consider a collection of 15 balls, 5 of which are octarine. If we have 15 balls divided into two groups, using an unknown system of making these groups, and Group 1 has 4 balls and Group 2 has 11 balls. If the groups are created randomly, without reference to ball colour, what is the probability of 3 of the 5 octarine balls ending up in Group 1? Round your answer to five decimal places