In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With P(E) = 0.60 and P(F) = 0.15, calculate:

a. P(E^C)

b. P(E ⋃ F)

c. P(E^C ⋂ F^C)