A recording company obtains the blank CDs used to produce its labels from three
ID: 3147102 • 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 3% of the compact disks produced by manufacturer I are defective, 4% of those produced by manufacturer II are defective, and 2% of those produced by manufacturer III are defective. Manufacturers I, II, and III supply 36%, 52%, and 12%, 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) 0.0900
b) 0.0024
c) 0.0108
d) 0.0208
e) 0.0340
f) None of the above.
Suppose we have two urns, Urn 1 and Urn 2. Urn 1 contains 7 red marbles and 5 white marbles. Urn 2 contains 13 red marbles and 9 white marbles. The experiment consists of first choosing an urn with equally likely probability, and then drawing a marble from that urn. What is the probability of choosing Urn 1 and a white marble?
a) 0.4167
b) 0.5417
c) 0.2083
d) 0.4091
e) 0.2045
f) None of the above.
Explanation / Answer
Hi,
1. In this, there are 3 possible cases the chosen disc can be from any of the manufacturing companies, so the total probability will be sum of probabilities of getting a faulty disc from companies 1-3
probability from company1= 0.03*0.36
probability from company2= 0.04*0.52
probability from company3= 0.02*0.12
total probability = (0.36*0.03)+(0.04*0.52)+(0.02*0.12)= 0.034
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