The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 271 days and standard deviation σ = 16 days. (a) What proportion of pregnancies lasts more than 299 days? (b) What proportion of pregnancies lasts between 251 and 279 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 263 days? (d) A "very preterm" baby is one whose gestation period is less than 235 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 299 days is 0.0401 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 251 and 279 days is 0.5859 (Round to four decimal places as needed.) CO (c) The probability that a randomly selected pregnancy lasts no more than 263 days is 0.3085 (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is. This event (Round to four decimal places as needed.) would be unusual because the probability is less than 0.05.

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**Pregnancy Length Statistics for a Particular Animal**

The lengths of a particular animal’s pregnancies are normally distributed with a mean (\(\mu\)) of 271 days and a standard deviation (\(\sigma\)) of 16 days.

1. **Proportion of Pregnancies Lasting More Than 299 Days**
   - The proportion of pregnancies that last more than 299 days is calculated to be 0.0401. 
   - This result is rounded to four decimal places.

2. **Proportion of Pregnancies Lasting Between 251 and 279 Days**
   - The proportion of pregnancies that last between 251 and 279 days is 0.5859.
   - This is also rounded to four decimal places.

3. **Probability of a Pregnancy Lasting No More Than 263 Days**
   - The probability that a randomly selected pregnancy lasts no more than 263 days is 0.3085.
   - This is rounded to four decimal places.

4. **Probability of a "Very Preterm" Baby**
   - A "very preterm" baby is one whose gestation period is less than 235 days.
   - The probability is very low, and hence, this event would be considered unusual because the probability is less than 0.05.
   - Again, rounding is done to four decimal places.

This analysis provides insight into the statistical distribution of pregnancy lengths and helps determine the likelihood of certain gestational periods for this animal species.
Transcribed Image Text:**Pregnancy Length Statistics for a Particular Animal** The lengths of a particular animal’s pregnancies are normally distributed with a mean (\(\mu\)) of 271 days and a standard deviation (\(\sigma\)) of 16 days. 1. **Proportion of Pregnancies Lasting More Than 299 Days** - The proportion of pregnancies that last more than 299 days is calculated to be 0.0401. - This result is rounded to four decimal places. 2. **Proportion of Pregnancies Lasting Between 251 and 279 Days** - The proportion of pregnancies that last between 251 and 279 days is 0.5859. - This is also rounded to four decimal places. 3. **Probability of a Pregnancy Lasting No More Than 263 Days** - The probability that a randomly selected pregnancy lasts no more than 263 days is 0.3085. - This is rounded to four decimal places. 4. **Probability of a "Very Preterm" Baby** - A "very preterm" baby is one whose gestation period is less than 235 days. - The probability is very low, and hence, this event would be considered unusual because the probability is less than 0.05. - Again, rounding is done to four decimal places. This analysis provides insight into the statistical distribution of pregnancy lengths and helps determine the likelihood of certain gestational periods for this animal species.
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