Suppose there is a medical screening procedure for a specific cancer that has sensitivity \(=.90\), and specific city \(=.95\). Suppose the underlying rate of the cancer in the population is .001 . Let \(B\) be the event the person has that specific cancer, and let \(A\) 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?