Exam Scores A large physics class takes a survey of the number of hours the students slept before an exam and their exam scores. Matrix A summarizes the proportions of stu- dents in different categories of exam scores and hours of sleep. Matrix B shows the total number of students in three exam score categories. (a) Calculate the product matrix AB. (b) Interpret the entries of the matrix AB. Exam Score Below 60 60 to 80 Above 80 Less than 4 0.75 4 to 7 0.60 More than 7 0.40 0.20 0.05 0.30 0.10 = A 0.30 0.30 Total Below 60 80 60 to 80 170 %3D Above 80 40

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