MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The image presents a statistical analysis related to births. Here's the text transcribed:

---

The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.

**Use the range rule of thumb to identify a range of values that are not significant.**

- The maximum value in this range is **8.5** girls.  
  (Round to one decimal place as needed.)

- The minimum value in this range is **1.5** girls.  
  (Round to one decimal place as needed.)

---

No graphs or diagrams are included in the image.
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Transcribed Image Text:The image presents a statistical analysis related to births. Here's the text transcribed: --- The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. **Use the range rule of thumb to identify a range of values that are not significant.** - The maximum value in this range is **8.5** girls. (Round to one decimal place as needed.) - The minimum value in this range is **1.5** girls. (Round to one decimal place as needed.) --- No graphs or diagrams are included in the image.
### Probability Distribution for Number of Girls in 10 Births

This table presents the probability distribution for the number of girls (x) born in a sample of 10 births. The distribution details the probability (P(x)) of having a specific number of girls in these births. Each row of the table represents a possible outcome and its associated probability.

#### Table: Probability Distribution for x

| Number of Girls (x) | Probability (P(x)) |
|---------------------|--------------------|
| 0                   | 0.002              |
| 1                   | 0.016              |
| 2                   | 0.042              |
| 3                   | 0.114              |
| 4                   | 0.196              |
| 5                   | 0.242              |
| 6                   | 0.204              |
| 7                   | 0.114              |
| 8                   | 0.036              |
| 9                   | 0.017              |
| 10                  | 0.002              |

#### Explanation

- **Number of Girls (x):** This column lists the number of girls that could be born out of 10 births, ranging from 0 to 10.
- **Probability (P(x)):** This column presents the probability of having x number of girls in those 10 births.

#### Observations

- The highest probability (0.242) occurs when exactly 5 girls are born.
- The probability of having all girls (10) or no girls (0) is quite low, each at 0.002.
- The distribution is approximately symmetrical, peaking at 5 girls, which is common for binomial distributions when the probability of having a girl or boy is equal.
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Transcribed Image Text:### Probability Distribution for Number of Girls in 10 Births This table presents the probability distribution for the number of girls (x) born in a sample of 10 births. The distribution details the probability (P(x)) of having a specific number of girls in these births. Each row of the table represents a possible outcome and its associated probability. #### Table: Probability Distribution for x | Number of Girls (x) | Probability (P(x)) | |---------------------|--------------------| | 0 | 0.002 | | 1 | 0.016 | | 2 | 0.042 | | 3 | 0.114 | | 4 | 0.196 | | 5 | 0.242 | | 6 | 0.204 | | 7 | 0.114 | | 8 | 0.036 | | 9 | 0.017 | | 10 | 0.002 | #### Explanation - **Number of Girls (x):** This column lists the number of girls that could be born out of 10 births, ranging from 0 to 10. - **Probability (P(x)):** This column presents the probability of having x number of girls in those 10 births. #### Observations - The highest probability (0.242) occurs when exactly 5 girls are born. - The probability of having all girls (10) or no girls (0) is quite low, each at 0.002. - The distribution is approximately symmetrical, peaking at 5 girls, which is common for binomial distributions when the probability of having a girl or boy is equal.
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