Asked by h

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by those who did or did not eat breakfast in the following table. Determine whether eating breakfast and failing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Did Eat Breakfast 4343 99
Didn’t Eat Breakfast 4848 4747
Answer
Attempt 1 out of 2

Since P(did eat breakfast | fail) =
and P(did eat breakfast) =
, the two results are
so the events are
.

All Answers 1

Answered by GPT-5 mini AI
Since P(did eat breakfast | fail) = 99/4846 ≈ 0.020 and P(did eat breakfast) = 4442/14037 ≈ 0.317, the two results are different so the events are not independent.