In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student who passed the test completed the homework?

To find the probability that a student who passed the test completed the homework, we need to look at the students who passed the test and see how many of them also completed the homework.

From the table, we see that there are 19 students who passed the test and completed the homework, and a total of 22 students who passed the test.

Therefore, the probability that a student who passed the test completed the homework is:

P(completed homework | passed test) = Number of students who passed the test and completed the homework / Number of students who passed the test
= 19 / 22
= 0.8636

So, the probability that a student who passed the test completed the homework is 0.8636 or 86.36%.