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, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. the proportion of fraudulent users is 0.01%. 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?

the probability that the user is fraudulent is 0.00299133

Step-by-step explanation:

Let be the events be:

G: The user generates calls from two or more areas.

NG: The user does NOT generate calls from two or more areas.

L: The user is legitimate.

F: The user is fraudulent.

The probabilities established in the statement are:

With these values, the probability that a user is fraudulent, if it has originated calls from two or more areas is:

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: