1.Suppose that one out of every 15,000 people is a genius and that an intelligence test can identify a genius with 95% accuracy (i.e., 95% of people who pass the test are geniuses and 95% of people who fail the test are not geniuses). Emma passes the intelligence test and claims, I am a genius!

a.What is the probability that Emma is a genius?

b.Suppose that Emma does not understand equations. In simple terms, explain why it is unlikely that Emma is a genius.