Suppose there is a medical screening procedure for a specific cancer that has sensitivity = .90, and specificity = .95. Suppose the underlying rate of the cancer in the population is .001. Let B be the event "the person has that specific cancer" and A be the event "the screening procedure gives a positive result."

(a) What is the probability that a person has the disease given the results of the screening is positive?

(b) Does this show that screening is effective in detecting this cancer?