Final answer:
Using a credit card that gives a mile for each dollar spent and charging more than $2,000 per month are not independent events. They are dependent because the earning of miles is directly related to the amount charged to the card.
Step-by-step explanation:
When wondering whether using a credit card that gives a mile of air travel for each dollar spent and charging more than $2,000 per month are independent events, it's important to understand what independent events are in probability. Independent events are events where the occurrence of one event does not affect the probability of the other event happening. Therefore, if using a credit card that offers air miles and charging a certain amount each month are not related actions, meaning one does not cause or influence the other, then they would be considered independent events. However, typically, earning air miles is directly correlated to the amount you spend. Thus in this case, spending more than $2,000 each month, and earning a mile for every dollar spent are not independent events, because the miles earned are directly dependent on the amount charged to the credit card.