课程: Machine Learning Foundations: Probability

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Example of Bayes' theorem in practice

Example of Bayes' theorem in practice - Python教程

课程: Machine Learning Foundations: Probability

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Example of Bayes' theorem in practice

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- [Instructor] Let's look at the example of Bayes's theorem in practice. A factory has three reproduction lines associated with the production of a smartphone. The smartphones produced in these three lines are 45% for the first, 35% for the second, and 20% for the third. Additionally, we know that 0.9% of the smartphones produced in the first line are defective, 0.8% of smartphones in the second line are defective, and in the third line, 1.2% of smartphones are defective. A sample of the smartphones produced is then examined and suppose it is found to be defective, find the probability that it was produced in the first line, in the second line, and in the third line. Before having gone to calculate our probabilities, let's see Bayes's formula. In the case, we have partition of a sample space, B1, B2, until Bn, such as the P of Bi is greater than zero for all i equals one until n. Then for the event A of the sample space…

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