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a school distributed a survey asking students their year in school (freshman, sophomore, junior, or senior) as well as whether or not they exercise (yes or no). the results are shown in the contingency table below. freshman sophomore junior senior total yes 83 108 92 99 382 no 67 42 58 51 218 total 150 150 150 150 600 what is the probability that a student is a sophomore and does not exercise? write your answer as a simplified fraction.

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The probability that a student is a sophomore and does not exercise is 42/600, or 7/100.

This probability can be calculated by dividing the number of sophomores who do not exercise (42) by the total number of students in the survey (600).

The contingency table provided in the question shows that there are 150 sophomores in the survey, and 42 of them do not exercise. This means that the probability of being a sophomore and not exercising is 42/150, or 7/25. However, the question asks for the probability as a simplified fraction, so the fraction can be simplified further to 7/100.

Overall, this means that the probability of being a sophomore and not exercising is relatively low, as it represents just 7% of the total number of students in the survey.

Learn more about Simplified Fraction here:

https://brainly.com/question/15178106

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