The lengths of a particular animal's pregnancies are approximately normally distributed, with mean µ=251 days and standard deviation o=8 days. (a) What proportion of pregnancies lasts more than 255 days? (b) What proportion of pregnancies lasts between 249 and 253 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 241 days? (d) A "very preterm" baby is one whose gestation period is less than 231 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 255 days is 0.3085 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 249 and 253 days is 0.1974. (Round to four decimal places as needed.) ICCER (c) The probability that a randomly selected pregnancy lasts no more than 241 days is 0.1056 (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual? be unusual because the probability is The probability of this event is, so it (Round to four decimal places as needed.) than 0.05.

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The lengths of a particular animal's pregnancies are approximately normally distributed, with a mean \( \mu = 251 \) days and a standard deviation \( \sigma = 8 \) days. 

**(a)** What proportion of pregnancies lasts more than 255 days?

The proportion of pregnancies that last more than 255 days is **0.3085**.
*(Rounded to four decimal places as needed.)*

**(b)** What proportion of pregnancies lasts between 249 and 253 days?

The proportion of pregnancies that last between 249 and 253 days is **0.1974**.
*(Rounded to four decimal places as needed.)*

**(c)** What is the probability that a randomly selected pregnancy lasts no more than 241 days?

The probability that a randomly selected pregnancy lasts no more than 241 days is **0.1056**.
*(Rounded to four decimal places as needed.)*

**(d)** A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual?

The probability of this event is \( \boxed{\phantom{0.0000}} \), so it \( \boxed{\phantom{\text{isn't}/\text{is}}} \) be unusual because the probability is \( \boxed{\phantom{\text{less}/\text{greater}}} \) than 0.05.
*(Rounded to four decimal places as needed.)*
Transcribed Image Text:The lengths of a particular animal's pregnancies are approximately normally distributed, with a mean \( \mu = 251 \) days and a standard deviation \( \sigma = 8 \) days. **(a)** What proportion of pregnancies lasts more than 255 days? The proportion of pregnancies that last more than 255 days is **0.3085**. *(Rounded to four decimal places as needed.)* **(b)** What proportion of pregnancies lasts between 249 and 253 days? The proportion of pregnancies that last between 249 and 253 days is **0.1974**. *(Rounded to four decimal places as needed.)* **(c)** What is the probability that a randomly selected pregnancy lasts no more than 241 days? The probability that a randomly selected pregnancy lasts no more than 241 days is **0.1056**. *(Rounded to four decimal places as needed.)* **(d)** A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual? The probability of this event is \( \boxed{\phantom{0.0000}} \), so it \( \boxed{\phantom{\text{isn't}/\text{is}}} \) be unusual because the probability is \( \boxed{\phantom{\text{less}/\text{greater}}} \) than 0.05. *(Rounded to four decimal places as needed.)*
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