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Digital SAT
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Probability of Studying Hours Based on Test Scores

Very Hard Problem Solving And Data Analysis Probability And Statistics

A study was conducted to analyze the relationship between the number of hours students study per week and their scores on a standardized test. The data collected is as follows:

  • 0 hours: 50 scores: 45, 48, 55, 52, 50
  • 1 hour: 10 scores: 60, 65, 55, 70, 68, 63
  • 2 hours: 8 scores: 75, 80, 78, 70, 76, 82, 85, 84
  • 3 hours: 5 scores: 90, 92, 89, 91, 95

Calculate the probability that a student who scores above 75 studied for at least 2 hours per week. Assume that all students in the study have an equal chance of being selected.

Hint

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