Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 1% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 35% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.02%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent?

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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Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate
each day. It is found that 1% of the legitimate users originate calls from two or more metropolitan areas in a single day.
However, 35% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion
of fraudulent users is 0.02%. If the same user originates calls from two or more metropolitan areas in a single day, what
is the probability that the user is fraudulent?
Transcribed Image Text:Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 1% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 35% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.02%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent?
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