Question

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 passing 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 9292 2323
Didn’t Eat Breakfast 1616 3939
Answer
Attempt 1 out of 2

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

Answer 1

Since P(did eat breakfast) × P(pass) = 0.430 and P(did eat breakfast and pass) = 0.541, the two results are not equal so the events are dependent.