Question

question
for a certain class, the following data table summarizes the amount of sleep of students and whether or not they have an a in the class. what is the probability that a student chosen randomly from the class is a student who slept more than 6 hours who has an a?

	has an a	does not have an a
slept 6 hours or less	3	10

answer attempt 1 out of 2
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Explanation:

Step1: Find total students who slept >6 hours

To find the total number of students who slept more than 6 hours, we add the number of students who slept more than 6 hours and have an A, and those who slept more than 6 hours and do not have an A. So, \( 4 + 5 = 9 \).

Step2: Find number of students with A (slept >6 hours)

From the table, the number of students who slept more than 6 hours and have an A is 4.

Step3: Calculate the probability

The probability is the number of favorable outcomes (students with A who slept >6 hours) divided by the total number of outcomes (students who slept >6 hours). So, the probability \( P = \frac{4}{9} \).

Answer:

\(\frac{4}{9}\)