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Using Chebyshev and other inequality formulas (maybe even Central Limit Theorem)

  1. Mar 16, 2012 #1
    34.

    Turner's syndrome is a rare chromosomal disorder in which girls have only one X chromosome. It affects about 1 in 2000 girls in the United States. About 1 in 10 girls with Turner's syndrome also suffer from an abnormal narrowing of the aorta.

    a. In a group of 4000 girls, what is the probability that there are 0,1,2, or at least 3 girls affected with Turner's syndrome?

    b. In a group of 170 girls affected with Turner's syndrome, what is the probability that at least 20 of them suffer from an abnormal narrowing of the aorta?
     
  2. jcsd
  3. Mar 16, 2012 #2

    mathman

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    For both questions the most direct approach would be using the binomial distribution, although for (b.) a normal approximation would make calculation easier.
     
  4. Mar 17, 2012 #3
    For a., a Poisson distribution is also appropriate (and probably easier to work with than the Binomial), since the probability of the disorder is so low.
     
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