Save Question 4 (1 point) A factory uses three production lines to manufacture c

Question

Save Question 4 (1 point) A factory uses three production lines to manufacture cans of a certain type. The accompanying table gives percentages of nonconforming cans, categorized by type of non- conformance for each of the three lines during a particular time period. During this time period, line 1 produced 900 non-conforming cans, line 2 produced 700 such cans, and line 3 was responsible for 700 non-conforming cans. A Quality Control person picks up a non- conforming can produced by one of the three lines. Given that the selected can had a surface defect, what is the probability that it came from Line 1? (State your answer as a decimal accurate to three decimal places). Line 1 15% 50% 21% 10% 4% Line 2 Line 3 12% 44% 28% 8% 8% Blemish Crack 20% 40% 24% 15% 1% Pull-Tab Problem Surface Defect Other Your Answer:

Explanation / Answer

P(It came from line I | Surface defect)

= 0.10 / (0.10 + 0.08 + 0.15)

= 10/33

= 0.303   

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.