Alpha Geek
$10/per page/Negotiable
On a certain two-lane north-south highway, there is a T junction. Cars arrive at the junction according to a Poisson process, on the average four per minute. For cars to turn left onto the side street, the highway is widened by the addition of a left-turn lane that is long enough to accommodate three cars. If four or more cars are trying to turn left, the fourth car will effectively block north-bound traffic. At the junction for the left-turn lane there is a left-turn signal that allows cars to turn left for one minute and prohibits such turns for the next three minutes. The probability of a randomly selected car turning left at this T junction is 0.22. Suppose that during a green light for the left-turn lane all waiting cars were able to turn left. What is the probability that during the subsequent red light for the left-turn lane, the north-bound traffic will be blocked?
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