A company's Gmail server estimates that 80% of emails are spam:junk email that the user does not want.A detection algorithm has been used to filter these spam emails before they reach your inbox.Suppose Gmail claims that their new algorithm correctly labels 92% of spam emails, while the probability for a false positive (a non-spam email labeled as spam) is 5%.

a.What is the probability that a new email that you receive gets labeled as spam?

b.Given that the algorithm allows a new email to go to your inbox (not the spam folder), what is the probability that the email actuallyisspam?