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Health Canada reported that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 16 days.
a. What percentage of pregnancies lasted between 270 and 280 days?
b. What percentage of 20 pregnancies has an average duration of less than 270 days?
c. Out of 5 pregnancies, what is the probability that more than 3 of them have duration of pregnancies between 270 and 280 days?
d. Out of 100 pregnancies, what is the probability that more than 30 of them have duration of pregnancies between 270 and 280 days?
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