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, roundingall probabilities to the nearest thousandth Passed Failed Did Breakfast 23 Didn't Eat Breakfast 14 Answer Since Pidid eat breakfast pass) the events are and P(did eat breakdast) the two results are
independent. The probability of passing the test given that a student ate breakfast is 23/37, or approximately 0.622. The probability of eating breakfast is 37/60, or approximately 0.617. The two results are very similar, indicating that eating breakfast and passing the test are independent.
