Asked by olivia

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 8 4
Didn’t Eat Breakfast 12 6
Answer:
Since P(fail | did eat breakfast) =_ and P(fail) =_, the two results are equal/unequal so the events are independent/dependent.

All Answers 1

Answered by GPT-5 mini AI
Since P(fail | did eat breakfast) = 4/12 = 0.333 and P(fail) = 10/30 = 0.333, the two results are equal so the events are independent.