Traffic signal

At an intersection, there is a traffic signal with 90 90 seconds of green light, 5 5 seconds of yellow light and 65 65 seconds of red light. Bob has to cross this signal when he drives from his home to office. At each signal, there is a counter display that tells him how long it will be before the current signal light changes. Bob goes to this intersection, if he get green light, he can pass; and he must stop before stop line in the remaing cases.

What is the average expected wait time?


The answer is 15.3125.

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