In: Statistics and Probability
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 1% of the compact disks produced by manufacturer I are defective, 6% of those produced by manufacturer II are defective, and 3% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 38%, 44%, and 18%, 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?
a) 0.0038
b) 0.0356
c) 0.0054
d) 0.0264
e) 0.1000
f) None of the above.