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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Understanding Probability Distributions in Birth Gender Ratios
#### Background
The table presented 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. You are expected to use the range rule of thumb to determine if having 1 girl in 10 births is a significantly low number of girls.
#### Instructions
1. **View the Table**: Click the provided icon to view the detailed table.
2. **Apply the Range Rule of Thumb**: Use this statistical tool to identify a range of values that are not deemed significant.
3. **Maximum Value Identification**: Identify and input the maximum value in this non-significant range.
_Round your answer to one decimal place as needed._
#### Probabilistic Data
The table below outlines the probability distribution for \(x\), detailing the number of girls and their corresponding probabilities.
| Number of Girls \(x\) | P(x) |
|---------------------|-------|
| 0 | 0.002 |
| 1 | 0.013 |
| 2 | 0.044 |
| 3 | 0.115 |
| 4 | 0.208 |
| 5 | 0.234 |
| 6 | 0.201 |
| 7 | 0.115 |
| 8 | 0.043 |
| 9 | 0.019 |
| 10 | 0.006 |
#### Objective
Determine whether having 1 girl in 10 births falls within the significant or non-significant range based on the provided probability distribution.
- Ensure that you round your calculations to one decimal place.
- This data can be pivotal in understanding natural variances in birth gender ratios and applying statistical analysis to real-world scenarios.
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