(10 marks) (b) Suppose that 6 in 100 people (i.c. 6%) have a particular disease. A diagnostic test for the disease has 80% sensitivity, i.c. if a person has the disease, the test will give a positive result with a probability of 0.80. The test has 90% specificity, i.e. if a person does not have the disease, the test will give a negative result with a probability of 0.90. Calculate the probability that a person does not have the disease, given that the person has received a negative test result