A medical company touts its new test for a certain genetic disorder. The false negative rate issmall: if you have the disorder, the probability that the test returns a positive result is 0.999.The false positive rate is also small: if you do not have the disorder, the probability that thetest returns a positive result is only 0.005. Assume that 2% of the population has the disorder.

If a person chosen uniformly from the population is tested and the result comes back positive,what is the probability that the person has the disorder?[Hint: Use Bayes Theorem]