Assume that the duration of human pregnancies can be described by a Normal model with mean days and standard deviation days.
a) What percentage of pregnancies should last between and days?
b) At least how many days should the longest % of all pregnancies last?
c) Suppose a certain obstetrician is currently providing prenatal care to pregnant women. Let represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, ? Specify the model, mean, and standard deviation.
d) What's the probability that the mean duration of these patients' pregnancies will be less than days?

Question

05-11-2022
Mathematics

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Assume that the duration of human pregnancies can be described by a Normal model with mean days and standard deviation days.
a) What percentage of pregnancies should last between and days?
b) At least how many days should the longest % of all pregnancies last?
c) Suppose a certain obstetrician is currently providing prenatal care to pregnant women. Let represent the mean length of their pregnancies. According to the Central Limit Theorem, what's the distribution of this sample mean, ? Specify the model, mean, and standard deviation.
d) What's the probability that the mean duration of these patients' pregnancies will be less than days?

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