Suppose that 5% of athletes at a certain university are using steroids or other performance-enhancing drugs (PEDs). Unfortunately, the tests used to detect PEDs
aren't perfect. Suppose that 3% of athletes who are not using PEDs will test positive
and be accused of using PEDs. Meanwhile, 1% of athletes who are using PEDs will test
negative and escape detection. Calculate the probability that a randomly selected
athlete will test positive.