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:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate