defective. What is the probability of a toy being defective?A factory has a machine shop in which three machines (A,B and C)preduce 100cm aluminium tubes. An inspector is equally likely tosample tubes from A and B, and three times as likely to select tubesfrom C as he is from B. The defective rates from the three machinesare A= 10%, B = 10% and C =20% .What is the probability that a tube selected by the inspector:%3D(i)(ii)(iii)is from machine A;is defective;comes from machine A, given that it is defective?eeeeeeeeeeennnnnnnnnnnnnnnnnnndddddddddddddddd

Solution: Let probability of selecting A be p Therefore, of selecting B is also p Of selecting C…

Answered: A factory has a machine shop in which…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A batch of transistors contains 7% defectives. Each transistor is subjected to a test that correctly identifies a defective, but also misidentifies as defective about 10% of the non-defective transistors. Given that a randomly chosen transistor is declared defective by the tester, compute the probability that it is actually defective, find P(D | TD)? Denote D as the event of a defective. P(D) = 0.07; TD the event of testing defective. Use Bayes’ Rule. Question 5 options: a 0.8827 b 0.8835 c 0.8742 d 0.8999
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