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Items are inspected for flaws by two quality inspectors.

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 28E Chapter 2.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 28E

Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.9. and by the second inspector with probability 0.7. Assume the inspectors function independently.

a. If an item has a flaw, what is the probability that it will be found by both inspectors?

b. If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?

c. Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it?

Step-by-Step Solution:

Answer:

Step 1 of 4:

               Given that the items are inspected for flaws by two quality inspectors.

    Let A denote the event that the flaw is found by the first inspector.

    Let B denote the event that the flaw is found by the second inspector.

       Then,

                  .

Step 2 of 4:

a). The aim is to find the probability that the flaw is found by both inspector.

          That is,

                     

                                      = 0.9

                                      = 0.63

         Therefore, the probability that the flaw is found by both inspector is 0.63.

Step 3 of 4

Chapter 2.3, Problem 28E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 28E from 2.3 chapter was answered, more than 435 students have viewed the full step-by-step answer. This full solution covers the following key subjects: inspector, Probability, flaw, inspectors, items. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Items are inspected for flaws by two quality inspectors. If a flaw is present, it will be detected by the first inspector with probability 0.9. and by the second inspector with probability 0.7. Assume the inspectors function independently.a. If an item has a flaw, what is the probability that it will be found by both inspectors?________________b. If an item has a flaw, what is the probability that it will be found by at least one of the two inspectors?________________c. Assume that the second inspector examines only those items that have been passed by the first inspector. If an item has a flaw, what is the probability that the second inspector will find it?” is broken down into a number of easy to follow steps, and 113 words. The full step-by-step solution to problem: 28E from chapter: 2.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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