Question

In: Statistics and Probability

Another student must pass through 12 sets of traffic lights on his way to university each...

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?

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