Imagine that a traffic intersection has a stop light that repeatedly cycles thro

Question

Imagine that a traffic intersection has a stop light that repeatedly cycles through the normal sequence of traffic signals (green light, yellow light, and red light). In each cycle the stop light is green for 20 s, yellow for 4 s, and red for 50 s. Assume that cars arrive at the intersection uniformly, which means that in any one interval of time, approximately the same number of cars arrive at the intersection at any other time interval of equal length. Determine the probability that a car arrives at the intersection while the stop light is yellow. Give your answer as a percentage precise to two decimal places

Explanation / Answer

here as total amount of time distributed in 3 lights =20+4+50 =74 s

therefore probability that a car arrvies at the intersection while stop light is Yellow =(4/74)*100=5.41%

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