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Recent questions in Two-way tables

### In 1912 the Titanic struck an iceberg and sank on its first voyage. Some passengers got off the ship in lifeboats, but many died. The following two-way table gives information about adult passengers who survived and who died, by class of travel. $$\begin{array} {lc} & \text{Class} \\ \text {Survived} & \begin{array}{c|c|c|c} & \text { First } & \text { Second } & \text { Third } \\ \hline \text { Yes } & 197 & 94 & 151 \\ \hline \text { No } & 122 & 167 & 476 \\ \end{array}\\ \end{array}$$ Suppose we randomly select one of the adult passengers who rode on the Titanic. Define event D as getting a person who died and event F as getting a passenger in first class. Find P (not a passenger in first class and survived).

UkusakazaL 2021-08-10

### Mutually exclusive versus independent. The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male, and event B: student has blue eyes. $$\text{Gender}\ \text{Eye color}\begin{array}{l|c|c|c} & \text { Male } & \text { Female } & \text { Total } \\ \hline \text { Blue } & & & 10 \\ \hline \text { Brown } & & & 40 \\ \hline \text { Total } & 20 & 30 & 50 \end{array}$$ Copy and complete the two-way table so that events A and B are mutually exclusive.

Regardless of whether you are looking for two-way tables exam questions or got stuck with various tasks based on some equations, you will find all the correct answers here. Since two-way tables questions are encountered by students coming from all disciplines from Physics to Sociology, the use of two-way tables should always focus on displaying the frequencies (both relative and not) for two categorical variables. It is the reason why there are two ways to solve the problem. Our examples are represented by both rows where each column is related to a particular variable.
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