Ken and Dorothy like to fly to Colorado for ski vacations. Sometimes, however, they are late for their flight. On the air carrier they prefer to fly, the probability that luggage gets lost is 0.012 for luggage checked at least one hour prior to departure. However, the probability luggage gets lost is 0.043 for luggage checked within one hour of departure. Are the events "luggage check time" and "lost luggage" independent? Explain.