when a new machine is functioning properly, only 9% of the items produced are de
ID: 3040498 • Letter: W
Question
when a new machine is functioning properly, only 9% of the items produced are defective. Assume that we will randomly select two parts produced on the machine and that we are interested in the number of defective parts found a. Using the Figure 5.3, select a tree diagram that shows this problem as a two-trial experiment. Here D: defective; G: not defective. Expcrimental Number Defective 1st part 2nd part (D. D) (D, G) (G, D) (G, G) Experimental Outcome Number Defective lst part 2nd part D. D) (D, G) (G, D) (G, G)Explanation / Answer
Correct tree diagram = 2
P(no defects) = P(G<G) = 0.912 = 0.8281
P(1 defect) = P(G,D) + P(D,G)
= 2x0.09x0.91 = 0.1638
P(2 defects) = 0.09x0.09 = 0.0081
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