Question

According to a study, 34% of experienced file-sharers with broadband access had decreased their spending on music. Let us estimate that 2% of all music fans were experienced file-sharers with broadband access at the time of the study. If 20% of the other music fans had decreased their spending on music, what percentage of those who had decreased their spending on music were experienced file-sharers with broadband access? HINT [See Examples 1 and 2.] (Round your answer to one decimal place.)

Answer 1

Here by the problem,

According to a study,

34% of experienced file-sharers with broadband access had decreased their spending on music.

2% of all music fans were experienced file-sharers with broadband access at the time of the study.

20% of the other music fans had decreased their spending on music,

Now for any randomly selected music fan, let us assume there are two events associated

E=Event that the music fan is a experienced file sharer with broadband access.

D=Event that the music fan had decreased their spending on Music

Then we can say

Then the probability that the randomly selected music lover had decreased their spending on music were experienced file-sharers with broadband access

(By Bayes' theorem)

So the required percentage be 3.35% or 3.4%(approximately)

Hence the answer...............

Thank you............