#2 Assume that of all the employees in a particular metropolitan area, 50% work full-time, 42% commute (to work) more than 30 miles, and 37% both work full-time and commute more than 30 miles. An employee in the metropolitan area is to be selected at random. a. what is the probability that an employee works full-time or commutes more than 30miles? b. what is the probability that an employee works full - time or does not commute more than 30 miles? c. What is the probability that the employee niether works full-time nor commutes more than 30 miles? d. what is the probability that an employee commutes more than 30 miles given that the employee works full- time? e. Are the events "work full-time" and "commutes more than 30 miles" independent? Show work