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Chapter 5: Q .77. (page 338)

Free downloads? Illegal music downloading is a big problem: 29% of Internet users download music files, and 67% of downloaders say they don’t care if the music is copyrighted. 18 Find the probability that a randomly selected Internet user downloads music and doesn’t care if it’s copyrighted.

Short Answer

Expert verified

Probability for the randomly selected internet user downloads music and doesn't care about copyrighted music is 0.1943.

Step by step solution

01

Step 1:Given information

Music files are downloaded by 29% of Internet users.

67 %of downloaders think it doesn't matter if the music is protected by copyright.

02

Step 2:Calculaton

According to general multiplication rule,

P(AandB)=P(A∩B)=P(A)×P(B∣A)=P(B)×P(A∣B)

Let

D: Internet users download music files

C: Downloaders don't care about copyrighted music

Now,

The corresponding probabilities:

Probability for the internet users download music files,

P(D)=0.29

Probability for the downloaders don't care about copyrighted music,

P(C∣D)=0.67

Apply the general multiplication rule:

P(CandD)=P(C∩D)=P(D)×P(C∣D)

=0.29×0.67

=0.1943

Thus

Probability for the randomly selected internet user downloads music and doesn't care about copyrighted music is=0.1943

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