An email system sends incoming mail to either the In-Folder (I)or the Trash Folder (T). You classify incoming mail as Useful (U),in which case you want it sent to I, or as a Nuisance (N) in whichcase you would like it sent to T. If incoming mail is U, the systemsends it to T with probability 0.1. If the incoming mail is N, thesystem sends it to I with probability 0.05. Suppose a proportion0.35 of your incoming mail is N.
What is the probability that an incoming mail is sent to T?
What is the probability that an incoming mail is U given that itis sent to T?
