Suppose we have two urns, Urn 1 and Urn 2. Urn 1 contains 11 red marbles and 5 w
ID: 3350205 • Letter: S
Question
Suppose we have two urns, Urn 1 and Urn 2. Urn 1 contains 11 red marbles and 5 white marbles. Urn 2 contains 7 red marbles and 13 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) 0.1563
b) 0.6500
c) 0.3250
d) 0.3125
e) 0.2188
f) None of the above.
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
f) None of the above.
Explanation / Answer
Answer - 1: P(Choosing Urn I and then white marble)
= (1/2)*(5/16)
= 5/32
= 0.1563
Option A is correct.
Answer - 2: P(Defective Disk)
= 0.37*0.07 + 0.45*0.05 + 0.18*0.04
= 0.0556
Option C is correct.
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