Scrap rate of machine parts. A press produces parts used

Chapter 3, Problem 125SE

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QUESTION:

Problem 125SE

Scrap rate of machine parts. A press produces parts used in the manufacture of large-screen plasma televisions. If the press is correctly adjusted, it produces parts with a scrap rate of 5%. If it is not adjusted correctly, it produces scrap at a 50% rate. From past company records, the machine is known to be correctly adjusted 90% of the time. A quality-control inspector randomly selects one part from those recently produced by the press and discovers it is defective. What is the probability that the machine is incorrectly adjusted?

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QUESTION:

Problem 125SE

Scrap rate of machine parts. A press produces parts used in the manufacture of large-screen plasma televisions. If the press is correctly adjusted, it produces parts with a scrap rate of 5%. If it is not adjusted correctly, it produces scrap at a 50% rate. From past company records, the machine is known to be correctly adjusted 90% of the time. A quality-control inspector randomly selects one part from those recently produced by the press and discovers it is defective. What is the probability that the machine is incorrectly adjusted?

ANSWER:

Solution:

Step 1 of 2:

      Given a press produces parts used in the manufacture of large- screen plasma televisions.

If the press is correctly adjusted, a scrap rate is 5%

If the press is not adjusted correctly, a scrape rate is 50%.

From past company records, the machine is correctly adjusted 90% of the time.

   Let A = press is correctly adjusted.

         B = press is incorrectly adjusted.

         D = part is defective.  


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