In: Statistics and Probability
Another student must pass through 12 sets of traffic lights on his way to university each day. Suppose
that each of the lights is green 36% of the time, yellow 5% of the time, and red 59% of the time.
Suppose it is known that the traffic lights function independently.
(a) What is the probability that the student encounters exactly five red lights on his way to university
one day?
(b) What is the probability that the student encounters at least three green lights on his way to
university one day?
(c) In a five-day school week, what is the probability that the student encounters exactly seven yellow
lights on his way to university?