a. What is the probability that the can was produced by line 1? b. What is the probability that the reason for nonconformance is a crack? c. If the selected can came from line 1, what is the probability that it had a blemish?
a. What is the probability that the can was produced by line 1? b. What is the probability that the reason for nonconformance is a crack? c. If the selected can came from line 1, what is the probability that it had a blemish?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 16T
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Say that COOP Ale Works, an Oklahoma brewery, uses three production lines to manufacture
beer cans. The table below gives percentages of nonconforming cans, categorized by the type
of nonconformity, for each of the three lines during a particular year. During this period, line 1
produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 was responsible
for 600 nonconforming cans. Suppose that one of these 1500 cans was selected at random.
beer cans. The table below gives percentages of nonconforming cans, categorized by the type
of nonconformity, for each of the three lines during a particular year. During this period, line 1
produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 was responsible
for 600 nonconforming cans. Suppose that one of these 1500 cans was selected at random.
Table attached in Image.
a. What is the probability that the can was produced by line 1?
b. What is the probability that the reason for nonconformance is a crack?
c. If the selected can came from line 1, what is the probability that it had a blemish?
d. Given that the selected can had a surface defect, what is the probability that it came
from line 2?
b. What is the probability that the reason for nonconformance is a crack?
c. If the selected can came from line 1, what is the probability that it had a blemish?
d. Given that the selected can had a surface defect, what is the probability that it came
from line 2?
Transcribed Image Text:Blemish
Crack
Pull-tab issue
Surface defect
Other
Line 1
15
50
21
10
4
Line 2
12
44
28
8
8
Line 3
20
40
24
14
2
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