A beverage plant has three lines (line A, line B and line C) for bottling the beverages. Line A bottles at a rate of 800 per hour, of which 5 percent have short fill; Line B bottles at a rate of 700 per hour, of which 3 percent have short fill; Line C bottles at a rate of 500 per hour, of which 2 percent have short fill. The lines operate for the same number of hours per day. A bottle selected at random from the production is found to have short fill. What are the probabilities that this bottle comes from line A, line B, or line 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.
A beverage plant has three lines (line A, line B and line C) for bottling the beverages. Line A bottles at a rate of 800 per hour, of which 5 percent have short fill; Line B bottles at a rate of 700 per hour, of which 3 percent have short fill; Line C bottles at a rate of 500 per hour, of which 2 percent have short fill. The lines operate for the same number of hours per day. A bottle selected at random from the production is found to have short fill. What are the
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