Question

Mutually exclusive versus independent. The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagin

Random variables

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.

$$\begin{array}{|c|c|}\hline & \text{Male} & \text{Female} & \text{Total} \\\hline \text{Blue} & 0 & 10-0=10 & 10 \\ \hline \text{Brown} & 20-0=20 & 30-10=20 & 40 \\ \hline \text{Total} & 20 & 30 & 50 \\ \hline \end{array}$$