Arecording 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?

Step-by-step 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,

ManufacturerSupplyDefectSupply & defect

10.350.060.021

20.510.060.0306

30.140.040.0056

 Total0.0572

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