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 exercise discusses a probability scenario where different groups of couples use a particular method of gender selection for childbirth. Each couple gives birth to one baby, aiming to increase the likelihood that each baby will be a girl. However, the method is assumed to have no effect, so the probability of having a girl remains 0.5. The groups consist of 32 couples. The task involves completing parts (a) through (c).

### Part (a)
- **Objective**: Find the mean and the standard deviation for the number of girls in groups of 32 births.
- **Given**:
  - Value of the mean (\( \mu \)) = 16 (As \( \mu = n \times p \), where \( n = 32 \) and \( p = 0.5 \)).
  - Value of the standard deviation (\( \sigma \)) = 2.8 (Calculated as \( \sigma = \sqrt{n \times p \times (1-p)} \)).

### Part (b)
- **Objective**: Use the range rule of thumb to identify significantly low values.
- **Given**:
  - Values of 10 or fewer girls are considered significantly low.

This exercise applies basic statistical concepts such as mean, standard deviation, and probability in the context of a binomial distribution scenario (considering childbirth outcomes). It highlights the calculation methods for mean and standard deviation, and uses the range rule of thumb to interpret data significance.
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Transcribed Image Text:The exercise discusses a probability scenario where different groups of couples use a particular method of gender selection for childbirth. Each couple gives birth to one baby, aiming to increase the likelihood that each baby will be a girl. However, the method is assumed to have no effect, so the probability of having a girl remains 0.5. The groups consist of 32 couples. The task involves completing parts (a) through (c). ### Part (a) - **Objective**: Find the mean and the standard deviation for the number of girls in groups of 32 births. - **Given**: - Value of the mean (\( \mu \)) = 16 (As \( \mu = n \times p \), where \( n = 32 \) and \( p = 0.5 \)). - Value of the standard deviation (\( \sigma \)) = 2.8 (Calculated as \( \sigma = \sqrt{n \times p \times (1-p)} \)). ### Part (b) - **Objective**: Use the range rule of thumb to identify significantly low values. - **Given**: - Values of 10 or fewer girls are considered significantly low. This exercise applies basic statistical concepts such as mean, standard deviation, and probability in the context of a binomial distribution scenario (considering childbirth outcomes). It highlights the calculation methods for mean and standard deviation, and uses the range rule of thumb to interpret data significance.
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