At 100 college campuses, 1,200 full-time undergraduate students were surveyed on their credit card usage. Among juniors, 65% reported that they didn't have a credit card in their own name, and 12% reported that they had at least one credit card in their own name and they maintained a credit card balance. [Source: Glater, J.D. (2008, December 31). The debt trap: Colleges profit as banks market credit cards to students. The New York Times.) Consider this random experiment. A college junior is randomly selected. The junior is interviewed and then categorized into one of the following three categories: she does not have a credit card in her own name, she has at least one credit card in her own name and pays her credit card balance in full each month, or she has at least one credit card in her own name and maintains a credit card balance. Consider the following events. O = The junior does not have a credit card in her own name. C = The junior has at least one credit card in her own name. F = The junior has at least one credit card in her own name and pays her credit card balance in full each month. B = The junior has at least one credit card in her own name and maintains a credit card balance. The events C and F mutually exclusive. The events O, C, F, and B exhaustive. Event B a simple event. The set S = (F, B} the correct description of the sample space for the random experiment because the events in S are Find P(F) and P(C), and enter the probabilities in the following cells: P(F) P(C)

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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.