The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A supplies 58% of the parts, B 32%, and C 10%. The quality of parts varies among the suppliers, with A, B, and C parts having 0.25%, 2%, and 1% defective rates, respectively. The parts are used in one of the company's major products. What is the probability that the company's major product is assembled with a defective part? Use the tabular approach to Bayes' theorem to solve. If required, round your answer to four decimal places. Probability = When a defective part is found, which supplier is the likely source?
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.
The Wayne Manufacturing Company purchases a certain part from suppliers A, B, and C. Supplier A supplies 58% of the parts, B 32%, and C 10%. The quality of parts varies among the suppliers, with A, B, and C parts having 0.25%, 2%, and 1% defective rates, respectively. The parts are used in one of the company's major products.
- What is the
probability that the company's major product is assembled with a defective part? Use the tabular approach to Bayes' theorem to solve. If required, round your answer to four decimal places.
Probability = - When a defective part is found, which supplier is the likely source?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
