Asked by Tiffany Santo on May 14, 2024

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The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days.What percentage can we expect for a pregnancy that will last at least 300 days?

A) 98.34%
B) 1.66%
C) 1.79%
D) 48.34%
E) 1.99%

Normal Model

A probability distribution characterized by its symmetry about the mean, revealing that data is more frequently found near the mean than at greater distances from it.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

  • Exercise the Normal distribution model to cope with real-world scenarios.
  • Put into action concepts of probability and percentages in the context of Normal distribution scenarios.
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ED
Explore Daily lifeMay 14, 2024
Final Answer :
B
Explanation :
We need to find the percentage of pregnancies lasting at least 300 days. To do this, we need to find the area under the Normal curve to the right of 300 days. We can convert this to a standard Normal distribution by using the formula z = (x - μ) / σ, with x = 300, μ = 268, and σ = 15. This gives us z = 2.1333. Using a Normal distribution table or calculator, we can find that the area to the right of z = 2.1333 is 0.0166 or 1.66%. Therefore, we can expect that only 1.66% of pregnancies will last at least 300 days.