Articles coming through an inspection line are visually

Chapter 2, Problem 101E

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QUESTION:

Problem 101E

Articles coming through an inspection line are visually inspected by two successive inspectors. When a defective article comes through the inspection line, the probability that it gets by the first inspector is .1. The second inspector will “miss” five out of ten of the defective items that get past the first inspector. What is the probability that a defective item gets by both inspectors?

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QUESTION:

Problem 101E

Articles coming through an inspection line are visually inspected by two successive inspectors. When a defective article comes through the inspection line, the probability that it gets by the first inspector is .1. The second inspector will “miss” five out of ten of the defective items that get past the first inspector. What is the probability that a defective item gets by both inspectors?

ANSWER:

Step 1 of 2:

Here the experiment under consideration is inspecting the articles coming through the inspection line by the two inspectors.

Probability that the defective article gets detected by the first inspector is 0.1.

Also, it is given that the probability that the second inspector gets the defective articles missed by the first inspector is =0.5.

Using this, we have to find the probability that a defective article is identified by both the inspectors.


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