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The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. At what percentile is a pregnancy that lasts 240 days (that's about 8 months)?

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Answer:

5.21-th

Step-by-step explanation:

Mean pregnancy time (μ) = 266 days

Standard deviation (σ) = 16 days

The z-score, for any given pregnancy period 'X' is determined by:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

For X = 240 days:

[tex]z=\frac{240-266}{16}\\ z=-1.625[/tex]

According to a z-score table, a score of -1.625 is equivalent to the 5.21-th percentile of a normal distribution

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