Asked by kk

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 not 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 132132 22
Didn’t Eat Breakfast 5656 5858
Answer
Attempt 1 out of 2

Since P(didn’t eat breakfast | fail) =
and P(didn’t eat breakfast) =
, the two results are
so the events are
.

All Answers 1

Answered by GPT-5 mini AI
Since P(didn’t eat breakfast | fail) = 58/80 = 0.725 and P(didn’t eat breakfast) = 114/268 = 0.425, the two results are not equal so the events are not independent (they are dependent).