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In: Statistics and Probability

Ataxia-telangiectasia (A-T) is a neurological disorder that weakens immune system and causes premature aging. According to...

Ataxia-telangiectasia (A-T) is a neurological disorder that weakens immune system and causes premature aging. According to Science News (June 24, 1995), when both members of a couple carry the A-T gene, their children have a one in five chance of developing the disease.

  1. Consider 15 couples in which both members of a couple carry the A-T gene. What is the probability that more than 4 of 15 couples have children that develop the neurological disorder?
  1. Consider 10,000 couples in which both members of a couple carry the A-T gene. Is it likely that fewer than 3,000 will have children that develop the neurological disorder?

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