A student must pass through 12 sets of traffic lights on his way to university. Suppose that each of the lights is green 35.7% of the time, yellow...

A student must pass through 12 sets of traffic lights on his way to university.  Suppose that each of the lights is green 35.7% of the time, yellow 5.4% of the time, and red 58.9% of the time.  Suppose also that the traffic lights function independently.

(a)  Let