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9:10 AM Sun Aug 2 @ 17% 88 Q ND STAT311_Quiz2_Summer2020-1~ ( + ) X . .. - b) A rare disease affects 0.5% of the population. There is a test for the disease, but the test is not always accurate. In fact, 6% of the population receives positive test results. You know for sure that the test is 100% accurate for individuals who really do have the disease (no false negatives). Hint: You may find a version of the Law of Total Probability helpful for this question. For an event X and Y, we know that: P(X) = P(X and Y) + P(X and Yc) i. Given that an individual does not have the disease, what is the probability of receiving a negative test result? Define your notation and show your work. ii. Given that an individual receives a positive test result, what is the probability that they actually have the disease? Define your notation and show your work