Question

The quality control department of the company has determined that 7% of the compact disks produced by manufacturer I are defective, 5% of those produced by manufacturer II are defective, and 4% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 37%, 45%, and 18%, respectively, of the compact disks used by the company. What percentage of the company's total CDs are defective?

Answer 1

The percentage of the company's total CDs that are defective is 5.1%.

Step-by-step explanation:

Given Defect Rates:

Manufacturer I: 7% defective CDs

Manufacturer II: 5% defective CDs

Manufacturer III: 4% defective CDs

Given Supply Percentages:

Manufacturer I: 37%

Manufacturer II: 45%

Manufacturer III: 18%

Calculate Weighted Defect Rates:

Weighted defect rate for each manufacturer is calculated by multiplying the defect rate by the supply percentage.

Calculate Total Defect Rate:

The total defect rate is the sum of the weighted defect rates for all manufacturers.

The percentage of the company's total CDs that are defective is 5.1%.