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. 1. The maximum value in this range is ______ girls.  2. The minimum  value in this range is ______ girls.  3.  Based on the​ result, is 1 girl in 10 births a significantly low number of​ girls? Explain.   A. Yes, 1 girl is a significantly low number of​ girls, because 1 girl is below the range of values that are not significant.   B. No, 1 girl is not a significantly low number of​ girls, because 1 girl is within the range of values that are not significant.   C. ​Yes, 1 girl is a significantly low number of​ girls, because 1 girl is above the range of values that are not significant.   D. Not enough information is given.

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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.

1. The maximum value in this range is ______ girls. 

2. The minimum  value in this range is ______ girls. 

3.  Based on the​ result, is 1 girl in 10 births a significantly low number of​ girls? Explain.

 
A. Yes, 1 girl is a significantly low number of​ girls, because 1 girl is below the range of values that are not significant.
 
B. No, 1 girl is not a significantly low number of​ girls, because 1 girl is within the range of values that are not significant.
 
C. ​Yes, 1 girl is a significantly low number of​ girls, because 1 girl is above the range of values that are not significant.
 
D. Not enough information is given.

 

### Probability Distribution Table of the Number of Girls

This table represents the probability distribution of the random variable \( x \), which is the number of girls in a sample. The column \( P(x) \) indicates the probability of obtaining \( x \) girls.

#### Table Data

| Number of Girls \( x \) | Probability \( P(x) \) |
|-------------------------|------------------------|
| 0                       | 0.002                  |
| 1                       | 0.013                  |
| 2                       | 0.039                  |
| 3                       | 0.112                  |
| 4                       | 0.205                  |
| 5                       | 0.238                  |
| 6                       | 0.199                  |
| 7                       | 0.117                  |
| 8                       | 0.036                  |
| 9                       | 0.015                  |
| 10                      | 0.024                  |

### Explanation

The table shows that the probability increases as the number of girls ranges from 0 to 5, with the highest probability at 5 girls, which is 0.238. After 5, the probability decreases as the number of girls increases, indicating a symmetrical distribution around the peak at 5 girls.
Transcribed Image Text:### Probability Distribution Table of the Number of Girls This table represents the probability distribution of the random variable \( x \), which is the number of girls in a sample. The column \( P(x) \) indicates the probability of obtaining \( x \) girls. #### Table Data | Number of Girls \( x \) | Probability \( P(x) \) | |-------------------------|------------------------| | 0 | 0.002 | | 1 | 0.013 | | 2 | 0.039 | | 3 | 0.112 | | 4 | 0.205 | | 5 | 0.238 | | 6 | 0.199 | | 7 | 0.117 | | 8 | 0.036 | | 9 | 0.015 | | 10 | 0.024 | ### Explanation The table shows that the probability increases as the number of girls ranges from 0 to 5, with the highest probability at 5 girls, which is 0.238. After 5, the probability decreases as the number of girls increases, indicating a symmetrical distribution around the peak at 5 girls.
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