[See Solution] The NBC hit comedy Friends was TiVo's most popular show during the week of April 18-24,2004. According to the Nielsen ratings, 29.7 \% of


Question: The NBC hit comedy Friends was TiVo's most popular show during the week of April 18-24,2004. According to the Nielsen ratings, \(29.7 \%\) of Tivo owners in the United States either recorded Friends or watched it live ("Prime-Time Nielsen Ratings," USA Today, April \(28,2004, p .3 D)\). Suppose you select a random sample of 50 TiVo owners.

  1. What is the probability that more than half the people in the sample watched or recorded Friends?
  2. What is the probability that less than \(25 \%\) of the people in the sample watched or recorded Friends?
  3. If a random sample of size 500 is taken, how does this change your answers to (a) and (b)?

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