A pharmaceutical company developed a new cancer screening method. This screening method is capable of detecting 99% of patient with cancer positively. Assume that there is only 1% of the population with cancer.Q1) Suppose that the probability of the patient without cancer is diagnosed as positive is x%, what is the probability that the patient is really sick, given that she/he tests positive?Q2) What is the value of x in which the probability of the patient is really sick given that she/he tests positive would be maximized? Q3) What is the value x n which the probability of the patient is really sick given that she/he tests positive would be minimised?
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