Suppose the probability of lymphoma is equals 0.01 in the 30-40 age group. If the patient does have lymphoma, the probability of a true positive detection via CT scan is equal to 0.80 and the probability of a false negative detection equals 0.20. Also, if a patient does not have lymphoma, the probability of a true negative CT scan is equal to 0.90 and the probability of a false positive CT scan equals 0.10 Answer the following questions: a. What is the probability that a randomly selected patient will have a positive CT scan? [5 marks] b. What is the probability of having lymphoma given a positive CT scan? c. What is the probability of having lymphoma given a negative CT scan? [6 marks]