A survey of Canadian teens aged 12 to 17 years reported that roughly 75% of them used a fee-based website to download music. You decide to interview a random sample of 20 U.S. teenagers. For now, assume that they behave similarly to the Canadian teenagers. (a) What is the distribution of the number X of teenagers who used a fee-based website to download music? Explain your answer. (b) What is the probability that at least 15 of these 20 teenagers in your sample used a fee-based website to download music? (c) Suppose that only 60% of U.S. teenagers used a fee-based website to download music. If you interview 20 U.S. teenagers at ran- dom, what is the mean of the number X of teenagers who used a fee-based website to download music? What is the standard deviation?

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A survey of Canadian teens aged 12 to 17 years reported that roughly
75% of them used a fee-based website to download music. You decide
to interview a random sample of 20 U.S. teenagers. For now, assume
that they behave similarly to the Canadian teenagers.
(a) What is the distribution of the number X of teenagers who used
a fee-based website to download music? Explain your answer.
(b) What is the probability that at least 15 of these 20 teenagers in
your sample used a fee-based website to download music?
(c) Suppose that only 60% of U.S. teenagers used a fee-based website
to download music. If you interview 20 U.S. teenagers at ran-
dom, what is the mean of the number X of teenagers who used
a fee-based website to download music? What is the standard
deviation?
Transcribed Image Text:A survey of Canadian teens aged 12 to 17 years reported that roughly 75% of them used a fee-based website to download music. You decide to interview a random sample of 20 U.S. teenagers. For now, assume that they behave similarly to the Canadian teenagers. (a) What is the distribution of the number X of teenagers who used a fee-based website to download music? Explain your answer. (b) What is the probability that at least 15 of these 20 teenagers in your sample used a fee-based website to download music? (c) Suppose that only 60% of U.S. teenagers used a fee-based website to download music. If you interview 20 U.S. teenagers at ran- dom, what is the mean of the number X of teenagers who used a fee-based website to download music? What is the standard deviation?
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