Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4. Data from the National Vital Statistics Report reveal that the distribution of the duration
of human pregnancies (i.e., the number of days between conception and birth) is
approximately normal with mean u = 270 and standard deviation o= 15. Use this normal
model to determine the probability that a given pregnancy comes to term in:
a. less than 244 days (which is about 8 months).
b. more than 275 days (which is about 9 months).
c. over 300 days.
d.
between 260 and 280 days.
e.
Data from the National Vital Statistics Report reveal that of 3,880,894 births in
the US in 1997, the number of pregnancies that resulted in a preterm delivery,
defined as 36 or fewer weeks since conception, was 436,600. Compare this to the
prediction that would be obtained from the model.
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Transcribed Image Text:4. Data from the National Vital Statistics Report reveal that the distribution of the duration of human pregnancies (i.e., the number of days between conception and birth) is approximately normal with mean u = 270 and standard deviation o= 15. Use this normal model to determine the probability that a given pregnancy comes to term in: a. less than 244 days (which is about 8 months). b. more than 275 days (which is about 9 months). c. over 300 days. d. between 260 and 280 days. e. Data from the National Vital Statistics Report reveal that of 3,880,894 births in the US in 1997, the number of pregnancies that resulted in a preterm delivery, defined as 36 or fewer weeks since conception, was 436,600. Compare this to the prediction that would be obtained from the model.
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