Let's solve this step by step:
### 1. Identify the number of complaints for each issue:
- Premature Brake Wear: 17
- Transmission Failure: 14
- Transmission Slippage: 29
- Coolant Leaking: 7
- Premature Brake and Rotor Wear: 11
- Excessive Oil Consumption: 20
- Body/Paint Defects: 19
- AC/Heater Issues: 22
- Seat Belts/Air Bags Malfunctions: 13
- Exhaust System Issues: 4
- Electrical System Malfunctions: 27
- Suspension Issues: 9
### 2. Calculate the total number of complaints:
To find the total number of complaints, add all the frequencies together:
[tex]\(
Total\ Complaints = 17 + 14 + 29 + 7 + 11 + 20 + 19 + 22 + 13 + 4 + 27 + 9
\)[/tex]
[tex]\(
Total\ Complaints = 192
\)[/tex]
### 3. Determine the complaints due to Seat Belts/Air Bags Malfunctions and Electrical System Malfunctions:
The relevant frequencies are:
- Seat Belts/Air Bags Malfunctions: 13
- Electrical System Malfunctions: 27
Add these together:
[tex]\(
Relevant\ Complaints = 13 + 27
\)[/tex]
[tex]\(
Relevant\ Complaints = 40
\)[/tex]
### 4. Calculate the percentage of these complaints relative to the total number of complaints:
To find the percentage, divide the number of relevant complaints by the total number of complaints and then multiply by 100:
[tex]\[
Percentage = \left( \frac{Relevant\ Complaints}{Total\ Complaints} \right) \times 100
\][/tex]
[tex]\[
Percentage = \left( \frac{40}{192} \right) \times 100
\][/tex]
[tex]\[
Percentage \approx 20.83\%
\][/tex]
### 5. Conclusion:
The percentage of complaints that are due to Seat Belts/Air Bags Malfunctions or Electrical System Malfunctions is approximately 20.83%.
