Questions: A local car dealership keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Premature Brake Wear? Round your answer to two decimal places, if necessary. Customer Complaints Type of Complaint Frequency 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

A local car dealership keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Premature Brake Wear? Round your answer to two decimal places, if necessary.

Customer Complaints  
Type of Complaint  Frequency  
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
Transcript text: A local car dealership keeps records of complaints received from its customers. Complaints for last month are listed in the following table. What percent of the complaints are due to the category Premature Brake Wear? Round your answer to two decimal places, if necessary. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Customer Complaints } \\ \hline Type of Complaint & Frequency \\ \hline Premature Brake Wear & 17 \\ \hline Transmission Failure & 14 \\ \hline Transmission Slippage & 29 \\ \hline Coolant Leaking & 7 \\ \hline Premature Brake and Rotor Wear & 11 \\ \hline Excessive Oil Consumption & 20 \\ \hline Body/Paint Defects & 19 \\ \hline AC/Heater Issues & 22 \\ \hline Seat Belts/Air Bags Malfunctions & 13 \\ \hline Exhaust System Issues & 4 \\ \hline Electrical System Malfunctions & 27 \\ \hline Suspension Issues & 9 \\ \hline \end{tabular}
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the frequency of Premature Brake Wear complaints

The frequency of complaints due to Premature Brake Wear is \( 17 \).

Step 2: Calculate the total number of complaints

Add up all the frequencies from the table: \[ 17 + 14 + 29 + 7 + 11 + 20 + 19 + 22 + 13 + 4 + 27 + 9 = 192 \] The total number of complaints is \( 192 \).

Step 3: Calculate the percentage of complaints due to Premature Brake Wear

Use the formula: \[ \text{Percentage} = \left( \frac{\text{Frequency of Premature Brake Wear}}{\text{Total number of complaints}} \right) \times 100 \] Substitute the values: \[ \text{Percentage} = \left( \frac{17}{192} \right) \times 100 \] Calculate the result: \[ \text{Percentage} \approx 8.85\% \]

Final Answer

\(\boxed{8.85\%}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful