The lengths of a particular animal's pregnancies are approximately normally distributed, with mean = 278 days and standard deviation a=8 days. (a) What proportion of pregnancies lasts more than 288 days? (b) What proportion of pregnancies lasts between 274 and 280 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 268 days? (d) A "very preterm" baby is one whose gestation period is less than 258 days. Are very preterm babies unusual?

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Solve A) to D)

The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 278 days and standard deviation = 8 days.
(a) What proportion of pregnancies lasts more than 288 days?
(b) What proportion of pregnancies lasts between 274 and 280 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 268 days?
(d) A "very preterm" baby is one whose gestation period is less than 258 days. Are very preterm babies unusual?
(a) The proportion of pregnancies that last more than 288 days is
(Round to four decimal places as needed)
(b) The proportion of pregnancies that last between 274 and 280 days is
(Round to four decimal places as needed.)
(c) The probability that a randomly selected pregnancy lasts no more than 268 days is
(Round to four decimal places as needed.)
(d) The probability of a "very preterm" baby is
(Round to four decimal places as needed.)
This event
unusual because the probability is
than 0.05.
Transcribed Image Text:The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 278 days and standard deviation = 8 days. (a) What proportion of pregnancies lasts more than 288 days? (b) What proportion of pregnancies lasts between 274 and 280 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 268 days? (d) A "very preterm" baby is one whose gestation period is less than 258 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 288 days is (Round to four decimal places as needed) (b) The proportion of pregnancies that last between 274 and 280 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 268 days is (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is (Round to four decimal places as needed.) This event unusual because the probability is than 0.05.
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