Question

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}\ \te

Two-way tables
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asked 2021-05-05

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 who eats regularly in the cafeteria, what is the probability that the student is a 10th-grader?

Answers (1)

2021-05-06
The table contains 495 students who eat regularly in the cafeteria, because 495 is mentioned in the row "Yes" and in the column "Total" of the above table.
175 of the 495 students who eat regularly in the cafeteria are 10th graders, because 175 is mentioned in the row "Yes" and in the column "10th" of the above table.
The probability is the number of favorable outcomes divided by the number of possible outcomes
P(10th|Yes)=# of favorable outcomes/# of possible outcomes=175/495=35/99 ~ 0.3535=35.35%
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