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10 5 2 3 'S In an elementary study of synchronized traffic lights, consider a simple four- light system. Suppose that each light is red

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10 5 2 3 'S In an elementary study of synchronized traffic lights, consider a simple four- light system. Suppose that each light is red for 30 seconds of a 50-second cycle and suppose P(S;tilS;) = 0.15 and P(S;+1|S;) = 0.40 for j = 1, 2, 3, where S; is the event that a driver is stopped by the jth light. We assume a "one-light" memory for the system. Determine the probability that a driver will NOT be delayed by any of the four lights. Note. Please round your final answer to 4 decimal places. O 0.0864 O 0.0848 O 0.0843 O 0.0856

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