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An email system sends incoming mail to either the In-Folder (I) or the Trash Folder (T)....

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Basic Math

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?

Answer & Explanation Solved by verified expert
4.4 Ratings (921 Votes)
P the system sends it to T with probability If incoming mail is U 01 P the system sends it to I If the incoming mail is N 005 P the system sends it to T If the    See Answer
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