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The lengths of human pregnancies are normally distributed with a mean of 268 days and a...

  1. The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
    1. What is the probability that a pregnancy lasts at least 300 days? (Remember that this means 300 days or more).
    2. Does it appear likely that a pregnancy would last at least 300 days?
    3. If we use a definition of premature to be the lowest 3% of pregnancy duration, find the number of days a pregnancy would last that separates the babies considered premature from the babies that were not premature.

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