The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 256 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 271 days? (b) What proportion of pregnancies lasts between 251 and 261 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 221 days? (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 271 days is 0.2266 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 251 and 261 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 221 days is (Round to four decimal places as needed.)
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 256 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 271 days? (b) What proportion of pregnancies lasts between 251 and 261 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 221 days? (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 271 days is 0.2266 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 251 and 261 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 221 days is (Round to four decimal places as needed.)
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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Transcribed Image Text:The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 256 days and standard deviation o = 20 days.
(a) What proportion of pregnancies lasts more than 271 days?
(b) What proportion of pregnancies lasts between 251 and 261 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 221 days?
(d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual?
Click the icon to view a table of areas under the normal curve.
(a) The proportion of pregnancies that last more than 271 days is 0.2266
(Round to four decimal places as needed.)
(b) The proportion of pregnancies that last between 251 and 261 days is
(Round to four decimal places as needed.)
(c) The probability that a randomly selected pregnancy lasts no more than 221 days is.
(Round to four decimal places as needed.)
(d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual?
The probability of this event is , so it
be unusual because the probability is
than 0.05.
(Round to four decimal places as needed.)
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