Machines A, B and C all produce the same 2 parts X and Y. Of all the products produced machine A produces 60 %, machine B produces 30 % and machine C produces 10 %. In addition, 40 % of the parts made by machine A are part X, 50 % of the parts made by machine B are part X and 70 % of the parts made by machine C are part X. A part produced by this company is randomly sampled and it is determined to be an X part. With this knowledge that it is an X part, revise the probabilities that the part are from machines A , B or C?
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.
Machines A, B and C all produce the same 2 parts X and Y. Of all the products produced machine A produces 60 %, machine B produces 30 % and machine C produces 10 %. In addition, 40 % of the parts made by machine A are part X, 50 % of the parts made by machine B are part X and 70 % of the parts made by machine C are part X.
A part produced by this company is randomly sampled and it is determined to be an X part. With this knowledge that it is an X part, revise the
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