BIRTHRATES The birthrates in the United States for the years 2003–2012 are given in the following table. (The birthrate is the number of live births/1000 population.) Year 2003 2004 2005 2006 2007 Birthrate 14.7 14.0 14.0 14.2 14.2 Year 2008 2009 2010 2011 2012 Birthrate 14.0 13.8 13.8 13.8 13.7 a. Describe a random variable X that is associated with these data. b. Find the probability distribution for the random vari- able X. c. Compute the mean, variance, and standard deviation of X.

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**Birthrates**

The birthrates in the United States for the years 2003–2012 are given in the following table. (The birthrate is the number of live births per 1000 population.)

| Year | 2003 | 2004 | 2005 | 2006 | 2007 |
|------|------|------|------|------|------|
| Birthrate | 14.7 | 14.0 | 14.0 | 14.2 | 14.2 |

| Year | 2008 | 2009 | 2010 | 2011 | 2012 |
|------|------|------|------|------|------|
| Birthrate | 14.0 | 13.8 | 13.8 | 13.8 | 13.7 |

**Exercises:**

a. Describe a random variable \( X \) that is associated with these data.

b. Find the probability distribution for the random variable \( X \).

c. Compute the mean, variance, and standard deviation of \( X \).

*Source: National Center for Health Statistics.*
Transcribed Image Text:**Birthrates** The birthrates in the United States for the years 2003–2012 are given in the following table. (The birthrate is the number of live births per 1000 population.) | Year | 2003 | 2004 | 2005 | 2006 | 2007 | |------|------|------|------|------|------| | Birthrate | 14.7 | 14.0 | 14.0 | 14.2 | 14.2 | | Year | 2008 | 2009 | 2010 | 2011 | 2012 | |------|------|------|------|------|------| | Birthrate | 14.0 | 13.8 | 13.8 | 13.8 | 13.7 | **Exercises:** a. Describe a random variable \( X \) that is associated with these data. b. Find the probability distribution for the random variable \( X \). c. Compute the mean, variance, and standard deviation of \( X \). *Source: National Center for Health Statistics.*
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