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A recent survey of 1000 United Kingdom music fans aged 14 to 64 revealed that roughly...

A recent survey of 1000 United Kingdom music fans aged 14 to 64 revealed that roughly 30% of the teenage music fans are listening to streamed music on their computer every day. You decide to take a sample of 20 U.S teenage music fans.

  1. What is the probability that at least one of the 20 children listen to streamed music? Assume for now that US teenagers behave like UK teenagers in terms of how regularly they listen to streamed music?
  2. If you take do a survey and take a random sample of 100 music fans and find that 35% of them listen to streamed music on their computer everyday on average, what is the margin of error of this survey for a 99% confidence interval.
  3. If I want to take a random sample of US teenage music fans so that when I compute the 95% confidence interval I would get a margin of error of 3%, how many teenagers would I need to sample?
Math   Statistics-And-Probability   
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