
Probability Question
According to the National Automobile Dealers Assoc., 75% of U.S. car dealers' profits comes fromrepairs and parts sold. However, many of the dealerships' service departments aren't open eveningsor weekends. The percentage of dealerships opened during the evenings and weekends are as follows:Time Dealerships are OpenPercentage of DealershipsWeekends but not evenings30.0Evenings but not weekends11.2Both evenings and weekends8.6a. Are the listed times mutually exclusive? (no intersection)b. What is the probability that a car dealership selected at random is not open in the evenings or on the weekends? c. Suppose two car dealerships, say, Dealership A and Dealership B, are each selected at random from car dealerships in the United States. What is the probability that both are open in the evenings but not on the weekends, or that both are open on the weekends but not in the evenings?d. For the two dealerships in part c, what is the probability that Dealership A is open in the evenings but not on the weekends, and Dealership B is open on the weekends but not in the evenings?e. For the two dealerships in part c, what is the probability that one of them is open in the evenings but not on the weekends, and that the other is open on the weekends but not in the evenings?