The items produced on an assembly line are inspected, and each is classified as either conforming (acceptable), downgraded, or rejected. Overall, 70% of the items are conforming, 20% are downgraded, and 10% are rejected. Assume that four items are chosen independently and at random. Let X1, X2, X3 denote the numbers among the 4 that are conforming, downgraded, and rejected, respectively. Question. • What is the distribution of X1, X2, X3? • What is the probability that 3 are conforming and 1 is rejected in a given sample?
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 items produced on an assembly line are inspected, and each is classified as either conforming (acceptable), downgraded, or rejected. Overall, 70% of the items are conforming, 20% are downgraded, and 10% are rejected. Assume that four items are chosen independently and at random. Let X1, X2, X3 denote the numbers among the 4 that are conforming, downgraded, and rejected, respectively.
Question. • What is the distribution of X1, X2, X3? • What is the
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