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Chapter 5: Q 79. (page 330)

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

Expert verified

The percentage of internet is 19.43%

Step by step solution

01

Step 1. Given Information

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

02

Step 2. Concept Used

Multiplication rule P(A∩B)=P(A∩B)×P(B/A)

03

Step 3. Calculation

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

P(don'tcare/downloadedmusicfiles)=67%=0.67

Use the rule of multiplication.

P(A∩B)=P(A∩B)×P(B/A)

As a result, the following was obtained:

P(downloadedmusicfiles∩dontcare)=P(downloadedmusicfiles)×P(don'tcare/downloadedmusicfiles)

=0.29×0.1943=0.1943=19.43%

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

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Most popular questions from this chapter

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.

(a) According to a recent survey, 50% of people aged 13 and older in the United States are addicted to email. To simulate choosing a random sample of

20people in this population and seeing how many of them are addicted to email, use a deck of cards. Shuffle the deck well, and then draw one card at a

time. A red card means that person is addicted to email; a black card means he isn’t. Continue until you have drawn 20cards (without replacement) for the sample.

(b) A tennis player gets 95%of his second serves in play during practice (that is, the ball doesn’t go out of bounds). To simulate the player hitting 5second serves, look at pairs of digits going across a row in Table D. If the number is between 00and 94, the service is in; numbers between 95and 99indicate that the service is out.

Keep on tossing The figure below shows the results of two different sets of 5000coin tosses. Explain what this graph says about chance behavior in the short run and the long run.

Teens online We saw in an earlier example (page 319) that 93% of teenagers are online and that 55% of online teens have posted a profile on a social-networking site. Of online teens with a profile, 76% have placed comments on a friend’s blog. What percent of all teens are online, have a profile, and comment on a friend’s blog? Show your work.

Stoplight On her drive to work every day, Ilana passes through an intersection with a traffic light. The light has a probability of 1/3 of being green when she gets to the intersection. Explain how you would use each chance device to simulate whether the light is red or green on a given day.

(a) A six-sided die

(b) Table D of random digits

(c) A standard deck of playing cards

Who eats breakfast? Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast on a regular basis?” All 595 students in the school responded to the survey. The resulting data are shown in the two-way table

below.7 Male Female Total Eats breakfast regularly 190110300 Doesn’t eat breakfast regularly 130165295Total320275595

(a) Who are the individuals? What variables are being measured?

(b) If we select a student from the school at random, what is the probability that we choose

  • a female?
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  • a female who eats breakfast regularly?
  • a female or someone who eats breakfast

regularly?
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