In a survey of 200 members of a local sports club 100 members indicated they they plan to attend the next summer Olympic Games, 60 indicated that they plan to attend the next winter Olympic Games and 40 indicated that they plan to attend both games. How many members of the club plan to attend A. At least one of the two games? B. Exactly one of the games? C. The summer Olympic Games only? D. None of the games?
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.
Denote by U the universal set, by S the set of members indicated that they plan to attend the next Summer Olympic Games, and by W the set of members indicated that they plan to attend the next Winter Olympic Games. Then n(U) = 200, n(S)= 100,n(W) = 60, n(S n W) = 40.
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