If a random product is observed and found to be defective, what plan was most likely used and thus responsible?
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.
- An Oman manufacturing company uses three different analytical plans for the design and development of a specific product. Basically, they are used three different times due to cost, the company implements three plans. Plans 1, 2 and 3 are used for 35%, 20% and 45% of products, respectively. The defect rate (F) is different for the following three plans (Dj):
P (F | D1) = 0.03, P (F | D2) = 0.06
P (F | D3) = 0.02,
Where, P (F | Dj) is the probability of a defective product given plan Dj.
If a random product is observed and found to be defective, what plan was most likely used and thus responsible?
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