6. Machines A and B produce 40% and 60%, respectively of the production of a component intended for the electronics industry. From experience, it is known that the probability that machine A produces a defective component is 0.015 while the probability that machine B produces a defective component is 0.025. If a component is selected at random from a day's production, find the probability that the component is defective. If a component is selected at random from a day's production and is found to be defective, use Bayes' theorem to find the probability that it is made by machine A. а. b.

6. Machines A and B produce 40% and 60%, respectively of the production of a component intended for the electronics industry. From experience, it is known that the probability that machine A produces a defective component is 0.015 while the probability that machine B produces a defective component is 0.025. If a component is selected at random from a day's production, find the probability that the component is defective. If a component is selected at random from a day's production and is found to be defective, use Bayes' theorem to find the probability that it is made by machine A. а. b.

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MATLAB: An Introduction with Applications

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Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

6. Machines A and B produce 40% and 60%, respectively of the production of a component intended for the electronics industry. From experience, it
is known that the probability that machine A produces a defective component is 0.015 while the probability that machine B produces a defective
component is 0.025.
If a component is selected at random from a day's production, find the probability that the component is defective.
а.
b.
If a component is selected at random from a day's production and is found to be defective, use Bayes' theorem to find the probability that it
is made by machine A.

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