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

generals336 2021-05-05 Answered

The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level.

Grade Eat in cafeteria9th10th11th12th Total  Yes 13017512268495 No 183488170310 Total 148209210238805

If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a 10th-grader?

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wornoutwomanC
Answered 2021-05-06 Author has 81 answers
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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