Two-fifths of the students in a dorm are Business majors and three-fifths are non-Business majors. Business majors are twice as likely to do their studying at the library as non-Business majors are. Half of the Business majors study at the library. If a randomly selected student from the dorm studies at the library, what is the probability the student is a Business major?
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.
Two-fifths of the students in a dorm are Business majors and three-fifths are non-Business majors. Business majors are twice as likely to do their studying at the library as non-Business majors are. Half of the Business majors study at the library. If a randomly selected student from the dorm studies at the library, what is the probability the student is a Business major?
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