Question 8: [4 Marks] Let us assume that type 2 diabetes affects about 12 in every 100 people. A test to detect this disease has a false positive rate of 5% which is to say that out of every 100 healthy people, ve will test positive. Assume that the test diagnoses correctly every person who has type 2 diabetes. Apply Bayes theorem and conditional probabilities to calculate the chance that a randomly selected person found to have a positive result actually has type 2 diabetes