In a manufacturing process the probability of producing a...

Name: in a manufacturing process the probability of producing a defective item is 005 if a defective item is produced the probability that it came from machine a is 07 and from machine b is 03 if 92116
Uploaded: 2022-03-29T12:08:19-08:00
Duration: 3 min 21 s
Channel: Ekaveera Kumar
Description: in a manufacturing process the probability of producing a defective item is 005 if a defective item is produced the probability that it came from machine a is 07 and from machine b is 03 if 92116

. In a manufacturing process, the probability of producing a defective item is 0.05. If a defective item is produced, the probability that it came from Machine A is 0.7, and from Machine B is 0.3. If a non-defective item is produced, the probability that it came from Machine A is 0.4, and from Machine B is 0.6. Calculate the probability that an item came from Machine A given that it is defective.

Transcript

00:01 Since factory a produces three times many computers than factory b, the probability of choosing a computer from factory a, the probability of choosing a computer on the factory is three -fourth, and the probability of choosing a computer from factory b is one -fourth.

00:21 And what else is the information given? the probability that the item produced by factory a, item produced by factory a, is defective is defective is 0 .027 and the probability that item produced by factory b is defective is given by this value is given as 0 .042.

01:00 What we need to find? let easy an event the computer is found to be defective.

01:09 Computer is found to be.

01:12 Defective is found to be defective.

01:16 This is an event e.

01:17 The question is, what is the probability that computer is found to be defective? what is the probability that it came from factory a? so what is the probability that it came from factory given that the computer found is defective? but bayes theorem, i can write this as probability that e given a comp, it is probability that a comp divided by the total problem.

01:44 That is p of e given a comp into a p of a com plus p of e given b comp into probability that bcom.

02:00 What is the probability that the computer is defective that you have chosen factory a? it will be 0 .027 into probability of choosing computer from factory is 3 4 divided by the same number 0 .078 .3 fourth.

02:16 Now, what is the probability that the computer is defective when you choose factory b? is 0 .042 into 1 fourth...

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