Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.019 and the probability that an item produced by factory B is defective is 0.041. A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
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.
Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The
A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
Given : Factory A produces 3 times as many computers as factory B
P(A)=3/4=0.75
P(B) =0.25
The probability that an item produced by factory A is defective is 0.019, P(D/A)=0.019
The probability that an item produced by factory B is defective is 0.041 , P( D/B)=0.041
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