(Optional, requires appendix) In the genetic test example, suppose the test comes out negative (Y is observed). What is the probability that the person does not have the defect (B exists)? Calculate...

(Optional, requires appendix) In the genetic test example, suppose the test comes out negative (Y is observed). What is the probability that the person does not have the defect (B exists)? Calculate this probability by applying Bayes’ rule, and then check your answer by doing an enumeration of the 10,000 members of the population.