What is the probability that there will be a collision

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For a specific truck traveling at 50 miles per hour (mph), the distance x required to brake to a complete stop is normally distributed with a mean of 120 feet and a standard deviation of 12 feet. Suppose that this truck is traveling at a constant speed of 50 mph and a car abruptly moves into the path of the truck and stops at a distance of 150 feet from the truck. Assuming that the only way to avoid a collision is for the truck to brake to a complete stop, what is the probability that there will be a collision? Round your answer to 4 decimal places. Remember to round all z values to two decimal places.

Reference no: EM13198468

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