At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in statistics?
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.
Given
Number of business majors at university =n(S) = 1000
n(A)= Number of business students enrolled in statistics course = 200
n(B) = Number of business students enrolled in accounting course = 250+50 = 300
n(A and B) = Number of business students with both statistics and accounting course = 50
n(A' and B) = number of business students with accounting but not statistics course = 250
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