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 1% of the compact disks produced by manufacturer i are defective, 7% of those produced by manufacturer ii are defective, and 3% of those produced by manufacturer iii are defective. manufacturers i, ii, and iii supply 36%, 20%, and 44%, 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?

3.08%

Step-by-step explanation:

If we choose a random disk, the probability that it is produced by manufacturer I is 36% so  the probability that it is produced by manufacturer I AND is defective is 1% of 36%

Similarly,  

the probability that it is produced by manufacturer II is 20% so  the probability that it is produced by manufacturer II AND is defective is 7% of 20%

the probability that it is produced by manufacturer III is 44% so  the probability that it is produced by manufacturer III AND is defective is 3% of 44%.

Since a disk can only be produced by one manufacturer, the probability that the disk defective is

1% of 36% + 7% of 20% + 3% of 44% =

0.01*0.36 + 0.07*0.20 + 0.03*0.44 = 0.0308 = 3.08%

i dony know

step-by-step explanation: