The length of a piece varies according to the machine that produces it, machine A produces 1.5% of pieces out of tolerance, machine B 3% and machine C 4%. If 30% of the parts are manufactured by machine A, 60% by machine B and 10% by machine C. a) What is the probability of having parts out of tolerance? b) What is the probability that a defective part was manufactured with machine C?

The length of a piece varies according to the machine that produces it, machine A produces 1.5% of pieces out of tolerance, machine B 3% and machine C 4%. If 30% of the parts are manufactured by machine A, 60% by machine B and 10% by machine C. a) What is the probability of having parts out of tolerance? b) What is the probability that a defective part was manufactured with machine C?

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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Question

The length of a piece varies according to the machine that produces it, machine A produces 1.5% of pieces out of tolerance, machine B 3% and machine C 4%. If 30% of the parts are manufactured by machine A, 60% by machine B and 10% by machine C.
a) What is the probability of having parts out of tolerance?
b) What is the probability that a defective part was manufactured with machine C?

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