Question

A recording company obtains the blank CDs used to produce its labels from three compact disk manufacturers: I, II, and III. The quality control department of the company has determined that 6% of the compact disks produced by manufacturer I are defective, 6% of those produced by manufacturer II are defective, and 4% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 35%, 51%, and 14%, respectively, of the compact disks used by the company. What is the probability that a randomly selected label produced by the company will contain a defective compact disk?

Answer 1

Explanation:

Given that a recording company obtains the blank CDs used to produce its labels from three compact disk manufacturers: I, II, and III.

The quality control department of the company has determined that 6% of the compact disks produced by manufacturer I are defective, 6% of those produced by manufacturer II are defective, and 4% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 35%, 51%, and 14%, respectively,

Manufacturer Supply Defect Supply & defect

1 0.35 0.06 0.021

2 0.51 0.06 0.0306

3 0.14 0.04 0.0056

Total 0.0572

Probability that a randomly selected label produced by the company will contain a defective compact disk=0.0572