(c) Ac ∩ B (d) A ∩ Bc (e) Ac ∪ Bc
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 biggest cause of inventory loss, called shrinkage, is shoplifting, followed closely by employee theft. In one study, the nine countries with the highest shrinkage rates, measured in the dollar amount lost for every $100 in sales, are as follows.
| Country | South | |||||||
|---|---|---|---|---|---|---|---|---|
| India | Russia | Morocco | Africa | Brazil | Mexico | Thailand | Turkey | |
| Shrinkage Rate ($) |
2.38 | 1.76 | 1.72 | 1.71 | 1.69 | 1.63 | 1.63 | 1.62 |
Let A denote the set of countries that have a shrinkage rate greater than $1.65, let B be the set of countries that have a shrinkage rate between $1.65 and $1.73, and let C be the set of countries that have a shrinkage rate less than $1.70. Find the following sets. (Let I represent India, R represent Russia, M represent Morocco, S represent South Africa, B represent Brazil, X represent Mexico, H represent Thailand, and T represent Turkey. Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
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