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. a. The maximum value in this range is ​(Round to one decimal place as​ needed.)   b. The minimum value in this range is ​(Round to one decimal place as​ needed.)

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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.

a. The maximum value in this range is

​(Round to one decimal place as​ needed.)
 
b. The minimum value in this range is
​(Round to one decimal place as​ needed.)
**Table: Probability Distribution of the Number of Girls**

| Number of Girls (x) | P(x)  |
|---------------------|-------|
| 0                   | 0.006 |
| 1                   | 0.014 |
| 2                   | 0.041 |
| 3                   | 0.113 |
| 4                   | 0.195 |
| 5                   | 0.239 |
| 6                   | 0.201 |
| 7                   | 0.115 |
| 8                   | 0.045 |
| 9                   | 0.016 |
| 10                  | 0.015 |

**Explanation:**

This table presents a probability distribution for the variable "Number of Girls (x)" in a given scenario. Each entry in the table denotes the probability, P(x), associated with observing x number of girls. The probabilities are as follows:

- The likelihood of having 0 girls is 0.006.
- The likelihood of having 1 girl is 0.014.
- The likelihood of having 2 girls is 0.041.
- The likelihood of having 3 girls is 0.113.
- The likelihood of having 4 girls is 0.195.
- The likelihood of having 5 girls is 0.239, the highest probability.
- The likelihood of having 6 girls is 0.201.
- The likelihood of having 7 girls is 0.115.
- The likelihood of having 8 girls is 0.045.
- The likelihood of having 9 girls is 0.016.
- The likelihood of having 10 girls is 0.015.

This distribution is essential in understanding the expected outcomes and their respective probabilities in this context. It can be used in various educational exercises, such as analyzing probability distributions and calculating expected values.
Transcribed Image Text:**Table: Probability Distribution of the Number of Girls** | Number of Girls (x) | P(x) | |---------------------|-------| | 0 | 0.006 | | 1 | 0.014 | | 2 | 0.041 | | 3 | 0.113 | | 4 | 0.195 | | 5 | 0.239 | | 6 | 0.201 | | 7 | 0.115 | | 8 | 0.045 | | 9 | 0.016 | | 10 | 0.015 | **Explanation:** This table presents a probability distribution for the variable "Number of Girls (x)" in a given scenario. Each entry in the table denotes the probability, P(x), associated with observing x number of girls. The probabilities are as follows: - The likelihood of having 0 girls is 0.006. - The likelihood of having 1 girl is 0.014. - The likelihood of having 2 girls is 0.041. - The likelihood of having 3 girls is 0.113. - The likelihood of having 4 girls is 0.195. - The likelihood of having 5 girls is 0.239, the highest probability. - The likelihood of having 6 girls is 0.201. - The likelihood of having 7 girls is 0.115. - The likelihood of having 8 girls is 0.045. - The likelihood of having 9 girls is 0.016. - The likelihood of having 10 girls is 0.015. This distribution is essential in understanding the expected outcomes and their respective probabilities in this context. It can be used in various educational exercises, such as analyzing probability distributions and calculating expected values.
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