Construct a tree diagram with first-generation branches

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Reference no: EM131820142

A company uses three different assembly lines- A₁ , A₂ , and A₃ -to manufacture a particular component. Of those manufactured by A₁ , 5% need rework to remedy a defect, whereas 8% of A₂ 's components and 10% of A₃ 's components need rework. Suppose that 50% of all components are produced by A₁ , 30% are produced by A₂ and 20% are produced by A₃ .

a. Construct a tree diagram with first-generation branches corresponding to the three lines. Leading from each branch, draw one branch for rework (R) and another for no rework (N). Then enter appropriate probabilities on the branches.

b. What is the probability that a randomly selected component came from A₁ and needed rework?

c. What is the probability that a randomly selected component needed rework?

Reference no: EM131820142

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