(Optional, requires appendix) In the genetic test example, suppose the test comes out negative (Y is

(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.

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