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Exercise 4 A production line uses four machines to produce a piece. The followin

ID: 3058144 • Letter: E

Question

Exercise 4
A production line uses four machines to produce a piece. The following data is available:


a. If the probability of finding a defect is 0.04, calculate the probability that any piece has a defect that comes from machine B? (10 pts)
b. Calculate the probability that the piece comes from machine C since the piece is defective. (10 pts)

Machine Probabililty of using the machine Probability of obtaining a given defect that comes from the machine i A 0.25 0.03 B 0.45 ? C 0.10 0.07 D 0.20 0.015

Explanation / Answer

Exercise 4
A production line uses four machines to produce a piece. The following data is available:


a. If the probability of finding a defect is 0.04, calculate the probability that any piece has a defect that comes from machine B? (10 pts)
b. Calculate the probability that the piece comes from machine C since the piece is defective. (10 pts)

Machine Probabililty of using the machine Probability of obtaining a given defect that comes from the machine i A 0.25 0.03 B 0.45 ? C 0.10 0.07 D 0.20 0.015