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

Question

asked 2021-06-27

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.

asked 2020-11-09

\(\begin{array}{c|cc|c} &\text{Male}&\text{Female}&\text{Total}\\ \hline \text{Blue}&&&10\\ \text{Brown}&&&40\\ \hline \text{Total}&20&30&50 \end{array}\)

Copy and complete the two-way table so that events A and B are mutually exclusive.

asked 2021-05-28

The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level. \text{Grade}\ \text{Eat in cafeteria} \begin{array}{l|r|r|r|r|r} & 9 \mathrm{th} & 10 \mathrm{th} & 11 \mathrm{th} & 12 \mathrm{th} & \text { Total } \ \hline \text { Yes } & 130 & 175 & 122 & 68 & 495 \ \hline \text { No } & 18 & 34 & 88 & 170 & 310 \ \hline \text { Total } & 148 & 209 & 210 & 238 & 805 \end{array} If you choose a student at random, what is the probability that the student eats regularly in the cafeteria and is not a 10th-grader?

asked 2020-12-09

A random sample of 88 U.S. 11th- and 12th-graders was selected. The two-way table summarizes the gender of the students and their response to the question "Do you have allergies?" Suppose we choose a student from this group at random.

\(\begin{array}{c|cc|c} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text{ Yes } & 19 & 15 & 34 \\ \text{ No } & 24 & 30 & 54 \\ \hline \text{ Total } & 43 & 45 & 88\\ \end{array}\)

What is the probability that the student is female or has allergies?

\((a)\frac{19}{88}\)

(b)\(\frac{39}{88}\)

(c)\(\frac{58}{88}\)

(d)\(\frac{77}{88}\)