Mrs. Burke’s mathematics class has 113 students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collect yesterday’s work.  Mrs. Burke’s Mathematics Class Academic Year Mathematics Majors Non-Mathematics Majors Freshmen 15 11 Sophomores 19 14 Juniors 13 15 Seniors 16 10   Step 2 of 2 :   What is the probability that she selects a sophomore, given that she chooses a mathematics major? Enter a fraction or round your answer to 4 decimal places, if necessary.

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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.