At Roanoke College it is known that 1 3 of the stu-dents live off campus. It is also known that 5 9 of the stu-dents are from within the state of Virginia and that 3 4of the students are from out of state or live on campus. What is the probability that a student selected at ran-dom from Roanoke College is from out of state and lives on campus?

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A: Given:-

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A:

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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.