What is the probability that an incoming email is spam and flagged? b. What is the probability that the next incoming email will be flagged? c. All emails that are not flagged are sent to the user’s inbox. If an email reaches a user’s inbox, what is the probability that it is a spam email?

What is the probability that an incoming email is spam and flagged? b. What is the probability that the next incoming email will be flagged? c. All emails that are not flagged are sent to the user’s inbox. If an email reaches a user’s inbox, what is the probability that it is a spam email?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

On average, 21 out of every 100 emails exchanged are spam emails. Filters on email services attempt to flag spam emails as they are received. One such filter has a 73% chance of flagging an email if it is actually spam and a 27% chance of flagging an email that is not spam.

a. What is the probability that an incoming email is spam and flagged?

b. What is the probability that the next incoming email will be flagged?

c. All emails that are not flagged are sent to the user’s inbox. If an email reaches a user’s inbox, what is the probability that it is a spam email?

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