The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 264 days and standard deviation a= 16 days. (a) What proportion of pregnancies lasts more than 292 days? (b) What proportion of pregnancies lasts between 256 and 272 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 240 days? (d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual? (d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual? The probability of this event is (Round to four decimal places as needed.) so it would be unusual because the probability is less than 0.05.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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 lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 264 days and standard deviation o = 16 days.
(a) What proportion of pregnancies lasts more than 292 days?
(b) What proportion of pregnancies lasts between 256 and 272 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 240 days?
(d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual?
(d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual?
The probability of this event is
(Round to four decimal places as needed.)
so it
would
be unusual because the probability is
less
than 0,05.
Transcribed Image Text:The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 264 days and standard deviation o = 16 days. (a) What proportion of pregnancies lasts more than 292 days? (b) What proportion of pregnancies lasts between 256 and 272 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 240 days? (d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual? (d) A "very preterm" baby is one whose gestation period is less than 228 days. Are very preterm babies unusual? The probability of this event is (Round to four decimal places as needed.) so it would be unusual because the probability is less than 0,05.
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