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Sagot :
Let's analyze the given data step-by-step to find the probability that a randomly chosen student from the class has an A.
1. Identify the given data:
- Students who have an A and slept more than 6 hours: 4
- Students who have an A and slept 6 hours or less: 3
- Students who do not have an A and slept more than 6 hours: 8
- Students who do not have an A and slept 6 hours or less: 12
2. Calculate the total number of students who have an A:
- Students who have an A and slept more than 6 hours: 4
- Students who have an A and slept 6 hours or less: 3
- Total students who have an A = 4 + 3 = 7
3. Calculate the total number of students in the class:
- Students who have an A (total): 7
- Students who do not have an A and slept more than 6 hours: 8
- Students who do not have an A and slept 6 hours or less: 12
- Total students in the class = 7 + 8 + 12 = 27
4. Calculate the probability that a randomly chosen student has an A:
- Probability = (Total number of students who have an A) / (Total number of students in the class)
- Probability = 7 / 27
Thus, the probability that a randomly chosen student from the class has an A is approximately [tex]\( \frac{7}{27} \)[/tex] or [tex]\( 0.259 \)[/tex] (rounded to three decimal places).
1. Identify the given data:
- Students who have an A and slept more than 6 hours: 4
- Students who have an A and slept 6 hours or less: 3
- Students who do not have an A and slept more than 6 hours: 8
- Students who do not have an A and slept 6 hours or less: 12
2. Calculate the total number of students who have an A:
- Students who have an A and slept more than 6 hours: 4
- Students who have an A and slept 6 hours or less: 3
- Total students who have an A = 4 + 3 = 7
3. Calculate the total number of students in the class:
- Students who have an A (total): 7
- Students who do not have an A and slept more than 6 hours: 8
- Students who do not have an A and slept 6 hours or less: 12
- Total students in the class = 7 + 8 + 12 = 27
4. Calculate the probability that a randomly chosen student has an A:
- Probability = (Total number of students who have an A) / (Total number of students in the class)
- Probability = 7 / 27
Thus, the probability that a randomly chosen student from the class has an A is approximately [tex]\( \frac{7}{27} \)[/tex] or [tex]\( 0.259 \)[/tex] (rounded to three decimal places).
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