Data from a large national study reports that 10% of pregnant women deliver prematurely.  A local obstetrician is seeing 16 pregnant women in his next clinic session. What is the probability that none will deliver prematurely? What is the probability that fewer than 3 will deliver prematurely? What is the probability that none will deliver prematurely if in fact the true percentage who deliver prematurely is 5.5%? Interpret findings compared to part a. If the true percentage is 10% and this obstetrician has 146 pregnant women under his care, how many would be expected to deliver prematurely?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Data from a large national study reports that 10% of pregnant women deliver prematurely.  A local obstetrician is seeing 16 pregnant women in his next clinic session.

  1. What is the probability that none will deliver prematurely?
  2. What is the probability that fewer than 3 will deliver prematurely?
  3. What is the probability that none will deliver prematurely if in fact the true percentage who deliver prematurely is 5.5%? Interpret findings compared to part a.
  4. If the true percentage is 10% and this obstetrician has 146 pregnant women under his care, how many would be expected to deliver prematurely?
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