The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 273 days and standard deviation o= 16 days. (a) What proportion of pregnancies lasts more than 277 days? (b) What proportion of pregnancies lasts between 261 and 285 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 265 days? (d) A "very preterm" baby is one whose gestation period is less than 237 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 277 days is 0.25 (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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**Understanding Pregnancy Durations: A Statistical Approach**

The durations of pregnancies for a particular animal species are approximately normally distributed, with a mean (\( \mu \)) of 273 days and a standard deviation (\( \sigma \)) of 16 days. The following questions explore the probabilities associated with different lengths of gestation:

**Questions:**

(a) What proportion of pregnancies last more than 277 days?

(b) What proportion of pregnancies last between 261 and 285 days?

(c) What is the probability that a randomly selected pregnancy lasts no more than 265 days?

(d) A "very preterm" baby is one whose gestation period is less than 237 days. Are very preterm babies unusual?

**Resources:**

- Click the icon to view a table of areas under the normal curve, which can assist in calculating these probabilities.

**Answer:**

(a) The proportion of pregnancies that last more than 277 days is 0.25. *(Please round to four decimal places where necessary.)*

This topic explores the application of normal distribution in understanding pregnancy durations among animals and provides a framework for calculating probabilities related to gestational lengths.
Transcribed Image Text:**Understanding Pregnancy Durations: A Statistical Approach** The durations of pregnancies for a particular animal species are approximately normally distributed, with a mean (\( \mu \)) of 273 days and a standard deviation (\( \sigma \)) of 16 days. The following questions explore the probabilities associated with different lengths of gestation: **Questions:** (a) What proportion of pregnancies last more than 277 days? (b) What proportion of pregnancies last between 261 and 285 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 265 days? (d) A "very preterm" baby is one whose gestation period is less than 237 days. Are very preterm babies unusual? **Resources:** - Click the icon to view a table of areas under the normal curve, which can assist in calculating these probabilities. **Answer:** (a) The proportion of pregnancies that last more than 277 days is 0.25. *(Please round to four decimal places where necessary.)* This topic explores the application of normal distribution in understanding pregnancy durations among animals and provides a framework for calculating probabilities related to gestational lengths.
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