Question

Free downloads? Illegal music downloading has become a big problem: $29\%$ of Internet users download music files, and $67\%$ of downloaders say they

don’t care if the music is copyrighted.15 What percent of Internet users download music and don’t care if it’s copyrighted? Write the information given in terms of probabilities, and use the general multiplication rule.

Short answer

The percentage of internet is $19.43\%$

Step-by-step solution

Step 1. Given Information

$29$ percent of users download music files, while $67$ percent claim they "don't care."

Step 2. Concept Used

Multiplication rule $P(A\cap B)=P(A\cap B)\times P(B/A)$

Step 3. Calculation

According to the inquiry, $P(downloadmusicfiles)=29\%=0.29$

$P(don\text{'}tcare/downloadedmusicfiles)=67\%=0.67$

Use the rule of multiplication.

$P(A\cap B)=P(A\cap B)\times P(B/A)$

As a result, the following was obtained:

$P(downloadedmusicfiles\cap dontcare)=P(downloadedmusicfiles)\times P(don\text{'}tcare/downloadedmusicfiles)$

$=0.29\times 0.1943=0.1943=19.43\%$

As a result, $19.43\%$ of internet users downloaded music and don't care if it's copyrighted.