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Advanced Placement (AP)

Answered

Assume that the duration of human pregnancies can be described by a Normal model with mean
265 days and standard deviation 13 days.

a) What percentage of pregnancies should last between 269 and
277 days?

b) At least how many days should the longest 25% of all pregnancies last?

c) Suppose a certain obstetrician is currently providing prenatal care to 55 pregnant patients. Let
y represent the mean length of their pregnancies. According to the Central Limit Theorem, what is the distribution of this sample mean, y? Specify the model, mean, and standard deviation.

d) What's the probability that the mean duration of these patients' pregnancies will be less than
254 days?

Answer :

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