When a new machine is functioning properly, only 9% of the items produced are de

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.

Choose the Correct option from the above tree diagrams:
Select1234Item 1

b. How many experimental outcomes result in exactly one defect being found?

c. Compute the probabilities associated with finding no defects, exactly one defect, and two defects (to 4 decimals).

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.

1. 2. 3. 4.

Choose the Correct option from the above tree diagrams:
Select1234Item 1

b. How many experimental outcomes result in exactly one defect being found?

c. Compute the probabilities associated with finding no defects, exactly one defect, and two defects (to 4 decimals).

P (no defects) P (1 defect) P (2 defects) 1st part D 2nd part D Experimental Outcome D, G (G, Di G. G Number Defective

Explanation / Answer

a) optin 2 is correct

b)

experimental outcomes result in exactly one defect being found =2

c)

P( no defects) =0.91*0.91=0.8281

P(1 defect)=0.09*0.91+0.91*0.09=0.1638

P(2 defects)=0.09*0.09=0.0081

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