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1. Assume that A out of every 10,000 people have a positive test result for lung cancer, also assume that the probability of cancer given a positive test result(biopsy) is p, and the probability of disease given a negative test result is //10, 000. (a) (10 points) You can treat A, p, k as constants and compute the probability of an individual having lung cancer, or treat them as variables and derive the formula that gives the probability of an individual having lung cancer. Justify your steps. (b) (10 points) Treating A. p, k as constant numbers, compute the probability of a positive test result given that the person has cancer