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Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?

Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?

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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### Aviation Safety Analysis **Among fatal plane crashes that occurred during the past 70 years:** - 506 were due to pilot error, - 77 were due to other human error, - 245 were due to weather, - 408 were due to mechanical problems, and - 691 were due to sabotage. **Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?** **Relative Frequency Distribution:** - **Pilot error:** ____ % - **Other human error:** ____ % - **Weather:** ____ % - **Mechanical problems:** ____ % - **Sabotage:** ____ % *(Round to one decimal place as needed.)* **Question:** What is the most serious threat to aviation safety, and can anything be done about it? **Options:** - **A.** Pilot error is the most serious threat to aviation safety. Pilots could be better trained. - **B.** Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered. - **C.** Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. - **D.** Sabotage is the most serious threat to aviation safety. Airport security could be increased. --- **Detailed Explanation:** This material discusses the causes of fatal plane crashes over the past 70 years, categorizing them into pilot error, other human error, weather, mechanical problems, and sabotage. The data provided can be used to calculate the relative frequency distribution for each category. For each cause, you divide the number of incidents by the total number of incidents and then multiply by 100 to get a percentage. The total number of incidents here is the sum of all categories (506 + 77 + 245 + 408 + 691). **Graph or Diagram Analysis (if included):** A bar graph or pie chart would be useful here to visually represent the relative frequencies of each cause of fatal crashes. Each category (pilot error, other human error, weather, mechanical problems, sabotage) would have a corresponding section showing its proportion relative to the whole. Understanding which cause is most prevalent among historical data can help prioritize safety measures. For example, if sabotage has the highest relative frequency, increased airport security may be proposed as a solution. If pilot error is the highest, improved pilot training programs may be recommended. Further statistical analysis will inform safety regulations, training protocols, technological advancements
Transcribed Image Text:### Aviation Safety Analysis **Among fatal plane crashes that occurred during the past 70 years:** - 506 were due to pilot error, - 77 were due to other human error, - 245 were due to weather, - 408 were due to mechanical problems, and - 691 were due to sabotage. **Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?** **Relative Frequency Distribution:** - **Pilot error:** ____ % - **Other human error:** ____ % - **Weather:** ____ % - **Mechanical problems:** ____ % - **Sabotage:** ____ % *(Round to one decimal place as needed.)* **Question:** What is the most serious threat to aviation safety, and can anything be done about it? **Options:** - **A.** Pilot error is the most serious threat to aviation safety. Pilots could be better trained. - **B.** Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered. - **C.** Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. - **D.** Sabotage is the most serious threat to aviation safety. Airport security could be increased. --- **Detailed Explanation:** This material discusses the causes of fatal plane crashes over the past 70 years, categorizing them into pilot error, other human error, weather, mechanical problems, and sabotage. The data provided can be used to calculate the relative frequency distribution for each category. For each cause, you divide the number of incidents by the total number of incidents and then multiply by 100 to get a percentage. The total number of incidents here is the sum of all categories (506 + 77 + 245 + 408 + 691). **Graph or Diagram Analysis (if included):** A bar graph or pie chart would be useful here to visually represent the relative frequencies of each cause of fatal crashes. Each category (pilot error, other human error, weather, mechanical problems, sabotage) would have a corresponding section showing its proportion relative to the whole. Understanding which cause is most prevalent among historical data can help prioritize safety measures. For example, if sabotage has the highest relative frequency, increased airport security may be proposed as a solution. If pilot error is the highest, improved pilot training programs may be recommended. Further statistical analysis will inform safety regulations, training protocols, technological advancements
### Analysis of Fatal Plane Crashes Over the Past 70 Years #### Overview Among fatal plane crashes that have occurred during the past 70 years, the causes have been recorded and classified into several categories. The distribution of these causes is as follows: - **Pilot Error**: 506 crashes - **Other Human Error**: 77 crashes - **Weather**: 245 crashes - **Mechanical Problems**: 408 crashes - **Sabotage**: 691 crashes #### Constructing the Relative Frequency Distribution A relative frequency distribution helps us understand the proportion of each cause relative to the total number of crashes. Let's compute the relative frequency for each category. **Formula for Relative Frequency:** \[ \text{Relative Frequency} = \left( \frac{\text{Number of incidents for each cause}}{\text{Total number of incidents}} \right) \times 100 \] Given the data, the total number of fatal plane crashes is: \[ 506 + 77 + 245 + 408 + 691 = 1927 \] Using the formula, we calculate the relative frequency (in percentage) for each cause. 1. **Pilot Error**: \[ \left( \frac{506}{1927} \right) \times 100 \approx 26.3\% \] 2. **Other Human Error**: \[ \left( \frac{77}{1927} \right) \times 100 \approx 4.0\% \] 3. **Weather**: \[ \left( \frac{245}{1927} \right) \times 100 \approx 12.7\% \] 4. **Mechanical Problems**: \[ \left( \frac{408}{1927} \right) \times 100 \approx 21.2\% \] 5. **Sabotage**: \[ \left( \frac{691}{1927} \right) \times 100 \approx 35.9\% \] #### Completed Relative Frequency Distribution Table Below is the table with the calculated relative frequencies: | Cause | Relative Frequency (\%) | |----------------------|-------------------------| | Pilot Error | 26.3 | | Other Human Error | 4.0 | | Weather | 12.7 | | Mechanical Problems | 21.2 | | Sabotage
Transcribed Image Text:### Analysis of Fatal Plane Crashes Over the Past 70 Years #### Overview Among fatal plane crashes that have occurred during the past 70 years, the causes have been recorded and classified into several categories. The distribution of these causes is as follows: - **Pilot Error**: 506 crashes - **Other Human Error**: 77 crashes - **Weather**: 245 crashes - **Mechanical Problems**: 408 crashes - **Sabotage**: 691 crashes #### Constructing the Relative Frequency Distribution A relative frequency distribution helps us understand the proportion of each cause relative to the total number of crashes. Let's compute the relative frequency for each category. **Formula for Relative Frequency:** \[ \text{Relative Frequency} = \left( \frac{\text{Number of incidents for each cause}}{\text{Total number of incidents}} \right) \times 100 \] Given the data, the total number of fatal plane crashes is: \[ 506 + 77 + 245 + 408 + 691 = 1927 \] Using the formula, we calculate the relative frequency (in percentage) for each cause. 1. **Pilot Error**: \[ \left( \frac{506}{1927} \right) \times 100 \approx 26.3\% \] 2. **Other Human Error**: \[ \left( \frac{77}{1927} \right) \times 100 \approx 4.0\% \] 3. **Weather**: \[ \left( \frac{245}{1927} \right) \times 100 \approx 12.7\% \] 4. **Mechanical Problems**: \[ \left( \frac{408}{1927} \right) \times 100 \approx 21.2\% \] 5. **Sabotage**: \[ \left( \frac{691}{1927} \right) \times 100 \approx 35.9\% \] #### Completed Relative Frequency Distribution Table Below is the table with the calculated relative frequencies: | Cause | Relative Frequency (\%) | |----------------------|-------------------------| | Pilot Error | 26.3 | | Other Human Error | 4.0 | | Weather | 12.7 | | Mechanical Problems | 21.2 | | Sabotage
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