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Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births.

Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births.

MATLAB: An Introduction with Applications
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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The image contains information related to probability distributions for the number of girls in a sample of eight births across different sets of parents. The table provided details these probabilities, which are critical in calculating the mean and standard deviation for the distribution. ### Table of Numbers of Girls and Probabilities - **Number of Girls (x):** - 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - **Probability (P(x)):** - 0.002 - 0.029 - 0.103 - 0.219 - 0.301 - 0.211 - 0.102 - 0.028 - 0.005 This data can be used to determine the expected number of girls in 8 births. The mean (μ) is calculated as the sum of each number of girls multiplied by their respective probability. Meanwhile, the standard deviation provides a measure of the variability or dispersion of the probabilities around the mean. An action prompt is provided to calculate the mean, which needs to be rounded to one decimal place.
Transcribed Image Text:The image contains information related to probability distributions for the number of girls in a sample of eight births across different sets of parents. The table provided details these probabilities, which are critical in calculating the mean and standard deviation for the distribution. ### Table of Numbers of Girls and Probabilities - **Number of Girls (x):** - 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - **Probability (P(x)):** - 0.002 - 0.029 - 0.103 - 0.219 - 0.301 - 0.211 - 0.102 - 0.028 - 0.005 This data can be used to determine the expected number of girls in 8 births. The mean (μ) is calculated as the sum of each number of girls multiplied by their respective probability. Meanwhile, the standard deviation provides a measure of the variability or dispersion of the probabilities around the mean. An action prompt is provided to calculate the mean, which needs to be rounded to one decimal place.
**Statistical Analysis for Educational Purposes** 1. **Calculating the Mean:** - The mean is represented as \( \mu = \) [ ] girl(s). - Be sure to round your answer to one decimal place as needed. 2. **Calculating the Standard Deviation:** - The standard deviation is represented as \( \sigma = \) [ ] girl(s). - Again, ensure that your answer is rounded to one decimal place as necessary. These calculations are essential for understanding the distribution of a dataset. The mean provides the average number, while the standard deviation offers insight into the variability or dispersion of the data.
Transcribed Image Text:**Statistical Analysis for Educational Purposes** 1. **Calculating the Mean:** - The mean is represented as \( \mu = \) [ ] girl(s). - Be sure to round your answer to one decimal place as needed. 2. **Calculating the Standard Deviation:** - The standard deviation is represented as \( \sigma = \) [ ] girl(s). - Again, ensure that your answer is rounded to one decimal place as necessary. These calculations are essential for understanding the distribution of a dataset. The mean provides the average number, while the standard deviation offers insight into the variability or dispersion of the data.
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