The two-way table summarizes data on whether students at a certain high school e

usagirl007A 2021-10-18 Answered

The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level.
9th10th11th12thTotalYes13017512268495No183488170310Total148209210238805
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?

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Expert Answer

lobeflepnoumni
Answered 2021-10-19 Author has 99 answers

Step 1
The table contains 805 students in total (which is given in the bottom right corner of the table), while 130+122+68=320 of the 805 students eat regularly in the cafeteria and is not a 10th graders (since 130 is mentioned in the row ''Yes'' and in the column ''9th'' of the given table, 122 is mentioned in the row ''Yes'' and in the column ''11th'' of the given table, 68 is mentioned in the row ''Yes'' and in the column ''12th'' of the given table).
The probability is the number of favorable outcomes divided by the number of possible outcomes:

P(Yes and not 10th)=№ of favorable outcomes№ of possible outcomes=320805=641610.3975=39.75%

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