The duration of gestation in humans has a normal distribution, with an average of approximately 269 days and a standard deviation of 16 days. a) Consider that a certain woman declared that she had a 312-day gestation, after a brief visit from her husband who worked in a remote location. Given this information, find the probability that a pregnancy will last 312 days or more. What does this say about the wife's statement in question? b) If we decide that a delivery is premature if it occurs in the shortest 5% of gestation times, find the gestation time that separates babies considered premature from those that are not considered premature.
The duration of gestation in humans has a normal distribution, with an average of approximately 269 days and a standard deviation of 16 days. a) Consider that a certain woman declared that she had a 312-day gestation, after a brief visit from her husband who worked in a remote location. Given this information, find the probability that a pregnancy will last 312 days or more. What does this say about the wife's statement in question? b) If we decide that a delivery is premature if it occurs in the shortest 5% of gestation times, find the gestation time that separates babies considered premature from those that are not considered premature.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The duration of gestation in humans has a
a) Consider that a certain woman declared that she had a 312-day gestation, after a brief visit from her husband who worked in a remote location. Given this information, find the probability that a pregnancy will last 312 days or more. What does this say about the wife's statement in question?
b) If we decide that a delivery is premature if it occurs in the shortest 5% of gestation times, find the gestation time that separates babies considered premature from those that are not considered premature.
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