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Assume that the duration of human pregnancies can be described by a Normal model with mean...

Assume that the duration of human pregnancies can be described by a Normal model with mean 264 days and standard deviation 15 days. ​

a) What percentage of pregnancies should last between 269 and 281 ​days? ​

b) At least how many days should the longest 30​% of all pregnancies​ last? ​

c) Suppose a certain obstetrician is currently providing prenatal care to 69 pregnant women. Let y represent the mean length of their pregnancies. According to the Central Limit​ Theorem, what's 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 256 ​days?

Math   Statistics-And-Probability   
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