In a class of students, the following data table summarizes the amount of sleep of students and whether they have an A in the class. What is the probability that a student chosen randomly from the class slept 6 hours or less?Slept more than 6 hours Slept 6 hours or lessHas an A 13 3Does not have an A 4 10
Question
In a class of students, the following data table summarizes the amount of sleep of students and whether they have an A in the class. What is the probability that a student chosen randomly from the class slept 6 hours or less?Slept more than 6 hours Slept 6 hours or lessHas an A 13 3Does not have an A 4 10
Solution
To calculate the probability that a student chosen randomly from the class slept 6 hours or less, we need to add up the total number of students who slept 6 hours or less and divide it by the total number of students.
From the data table, we can see that the number of students who slept 6 hours or less is 3 (those who have an A) + 10 (those who do not have an A) = 13.
The total number of students is the sum of all four categories: 13 (A, slept more than 6 hours) + 3 (A, slept 6 hours or less) + 4 (no A, slept more than 6 hours) + 10 (no A, slept 6 hours or less) = 30.
So, the probability that a student chosen randomly from the class slept 6 hours or less is 13/30 = 0.43 (or 43% when expressed as a percentage).
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