Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 13 days. a) What percentage of pregnancies should last between 271 and 283...

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Extracted text: Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 13 days. a) What percentage of pregnancies should last between 271 and 283 days? b) At least how many days should the longest 10% of all pregnancies last? c) Suppose a certain obstetrician is currently providing prenatal care to 57 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 257 days? A NOmanTMOdEr witiT mean 2do anu Stanualu deviation 1.12 (Type integers or decimals rounded to two decimal places as needed.) OB. A Binomial model with trials and a probability of success of (Type integers or decimals rounded to two decimal places as needed.) OC. There is no model that fits this distribution. d) The probability that the mean duration of these patients' pregnancies will be less than 257 days is. (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer