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Chebyshev’s Theorem

  1. Sep 4, 2009 #1

    A buyer for a lumber company must decide whether to buy a piece of land containing 5,000 pine trees. If 1,000 of the trees are at least 40 feet tall, the buyer will purchase the land; otherwise, he won't. The owner of the land reports that the height of the trees has a mean of 30 feet and a standard deviation of 3 feet. Based on this information, what is the buyer's decision?

    2. Relevant equations

    By Chebyshev’s Theorem (1-1/K2 )

    3. The attempt at a solution

    By Chebyshev’s Theorem (1-1/K2 )
    1000/5000= 1/5 = 1-1/K2 so
    1/K2 = 1-1/5 = 4/5 so

    K = 1.118, so

    20% fall between 26.646 and 33.354

    So I advise against .

    Is this right?
  2. jcsd
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