22 - EU brand cigarettes are produced in two workshops, 60% of the total production is made in workshop Y and the remaining 40% in workshop Z. Since it is known that 20% of the cigarette packs produced in shop Y and 12% of cigarette packs produced in shop Z are defective, what is the probability that a pack of defective AB brand cigarettes bought from the grocery store was produced in shop Y? A) 28.57%
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.
22 - EU brand cigarettes are produced in two workshops, 60% of the total production is made in workshop Y and the remaining 40% in workshop Z. Since it is known that 20% of the cigarette packs produced in shop Y and 12% of cigarette packs produced in shop Z are defective, what is the probability that a pack of defective AB brand cigarettes bought from the grocery store was produced in shop Y?
A) 28.57%
B) 49.51%
C) 54.56%
D) 71.42%
E) 38.58%
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