A recording company obtains the blank CDs used to produce its labels from three
ID: 3359482 • Letter: A
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 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 is the probability that a randomly selected label produced by the company will contain a defective compact disk?
a) 0.0259
b) 0.0072
c) 0.0556
d) 0.0225
e) 0.1600
Explanation / Answer
SOLUTION:- OPTION C. 0.0556
P(D) = 0.37(0.07) + 0.45(0.05)+ 0.18(0.04)
= 0.0556