Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as “Sick” has the disease, while someone listed as “Not Sick” does not. "Tested Positive” means the test indicated the person was sick, and “Tested Negative” means the test indicated they were not sick. The test is believed to be around 99% accurate. Tested Positive Tested Negative Sick 59 1 Not Sick 75 7365 One person at random is chosen from the group a. (3 pts) Find the probability the person is sick. b. (3 pts) Find the probability the test is positive given that the person is sick. c. (3 pts) Find the probability the test is negative given that the person is not sick. d. (3 pts) Find the probability the person is sick given that the test is positive. e. (3 pts) Find the probability the person is not sick given that the test is negative. f. (5 pts) When we say a test is 99% accurate, to what is that referring? Given your calculations, should information other than a single test be considered when diagnosing a rare condition? If so, what other information might be considered?