Assume these experimental probabilities equal theoretical probabilities. An airline offers snacks to their passengers for sale during flights. They keep track of whether customers in an aisle, middle, or window seat buy snacks or not.
Buys a Snack- 172, 135, 152, 459
Doesn’t buy a snack- 516, 405, 456, 1377
Totals- 688, 540, 608, 1836
First determine the probabilities that passengers buy snacks given that they are sitting in an aisle seat, a middle seat, and a window seat. Then use those values to determine whether buying a snack and seat location are independent or dependent events.
Answers:
A. All three probabilities equal 0.25. Therefore, buying a snack is independent of where you sit.
B. All three probabilities equal 0.25. Therefore, buying a snack is depends where you sit.
C. The three probabilities are not all the same. Therefore, buying a snack is independent of where you sit.
D. The three probabilities are not all the same. Therefore, buying a snack is dependent of where you sit.