An industry uses three methods, M1, M2, and M3 to manufacture a part. Of allthe parts manufactured, 45% are produced by method M1, 32% by method M2,and the rest 23% by method M3. Further it has been noted that 3% of the partsmanufactured by method M1 are defective, while 2% manufactured by method M2and 1.5% by method M3 are defective. A randomly selected part is found to bedefective. Find the probability that the part was manufactured by (a) method M1,(b) method M2. An industry uses three methods, M₁, M₂, and M3 to manufacture a part. Of allthe parts manufactured, 45% are produced by method M₁, 32% by method M₂,and the rest 23% by method M3. Further it has been noted that 3% of the partsmanufactured by method M₁ are defective, while 2% manufactured by method M₂and 1.5% by method M3 are defective. A randomly selected part is found to bedefective. Find the probability that the part was manufactured by (a) method M₁,(b) method M₂.

Answered: and the rest 23% by method M3. Further…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

An industry uses three methods, M1, M2, and M3 to manufacture a part. Of all
the parts manufactured, 45% are produced by method M1, 32% by method M2,
and the rest 23% by method M3. Further it has been noted that 3% of the parts
manufactured by method M1 are defective, while 2% manufactured by method M2
and 1.5% by method M3 are defective. A randomly selected part is found to be
defective. Find the probability that the part was manufactured by (a) method M1,
(b) method M2.