1. Two traffic lights that are consecutive have been synchronized to make a run
ID: 3129364 • Letter: 1
Question
1. Two traffic lights that are consecutive have been synchronized to make a run of green lights more likely. If a driver finds the first light to be red, the second light will be green with a probability of 0.9, and if the first light is green, the second will be green with probability 0.7. The probability the first light is green is 0.6.
a. Compute the probability that a driver will find both lights green.
b. Compute the probability that a driver will find the second traffic light green.
Explanation / Answer
a. The probability that a driver will find both lights green. 0.6 ×0.7 = 0.42
b. The probability that a driver will find the second light green. 0.6 ×0.7 +0.4×0.9 = 0.78
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