According to the National Automobile Dealers Assoc., 75% of U.S.car dealers' profits comes from
repairs andparts sold. However, many of the dealerships' service departmentsaren't open evenings
orweekends. The percentage of dealerships opened during the eveningsand weekends are as
follows:
Time Dealerships are Open					Percentage of Dealerships
Weekendsbut not evenings						37.5
Eveningsbut not weekends						13.2
Bothevenings and weekends						11.3
a. Are thelisted times mutually exclusive?
b. What isthe probability that a car dealership selected at random is notopen in the
evenings or on the weekends?
c. Supposetwo car dealerships, say, Dealership A and Dealership B, are eachselected at
random from car dealerships in the UnitedStates. 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 thetwo dealerships in part c, what is the probability that DealershipA is open in the
evenings but not on the weekends, andDealership B is open on the weekends but not in the
evenings?
e. For thetwo dealerships in part c, what is the probability that one of themis open in the
evenings but not on the weekends, and thatthe other is open on the weekends but not in the
evenings?