Half of a set of the parts are manufactured by machine A and half by machine B. Seven percent of all the parts are defective. Two percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective.
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.
Half of a set of the parts are manufactured by machine A and half by machine B. Seven percent of all the parts are defective. Two percent of the parts manufactured on machine A are defective. |
Find the probability that a part was manufactured on machine A, given that the part is defective. |
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