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Problem P3. In a factory, machine A manufactures 20 % of the bolts; machine B manufactures 30 % of the bolts; and machine C manufactures 50 % of the bolts. 3 % of the bolts produced by machine A are defective; 2 % of the bolts produced by machine B are defective; and 1 % of the bolts produced by machine C are defective. (a) If a bolt is selected at random from those produced by the factory, find the probability that it is defective. (b) If a bolt is selected at random from those produced by the factory, find the probability that it is not defective. (c) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine B.

Problem P3. In a factory, machine A manufactures 20 % of the bolts; machine B manufactures 30 % of the bolts; and machine C manufactures 50 % of the bolts. 3 % of the bolts produced by machine A are defective; 2 % of the bolts produced by machine B are defective; and 1 % of the bolts produced by machine C are defective. (a) If a bolt is selected at random from those produced by the factory, find the probability that it is defective. (b) If a bolt is selected at random from those produced by the factory, find the probability that it is not defective. (c) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine B.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem P3. In a factory, machine A manufactures 20 % of the bolts; machine B manufactures 30 % of the bolts; and machine C manufactures 50 % of the bolts. 3 % of the bolts produced by machine A are defective; 2 % of the bolts produced by machine B are defective; and 1 % of the bolts produced by machine C are defective. (a) If a bolt is selected at random from those produced by the factory, find the probability that it is defective. (b) If a bolt is selected at random from those produced by the factory, find the probability that it is not defective. (c) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine B. (d) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine C. (e) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine A.
Transcribed Image Text:Problem P3. In a factory, machine A manufactures 20 % of the bolts; machine B manufactures 30 % of the bolts; and machine C manufactures 50 % of the bolts. 3 % of the bolts produced by machine A are defective; 2 % of the bolts produced by machine B are defective; and 1 % of the bolts produced by machine C are defective. (a) If a bolt is selected at random from those produced by the factory, find the probability that it is defective. (b) If a bolt is selected at random from those produced by the factory, find the probability that it is not defective. (c) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine B. (d) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine C. (e) Suppose a bolt is selected at random from those produced by the factory and is found to be defective. What is the probability that it was produce by machine A.
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