For a car traveling 35 mph the distance required to brake for a stop is normally distributed with mean of 55 feet and standar deviation of 8 feet. You are traveling 35 mph in a residential area and a car moves abrupt into your path at a distance of 65 feet.
a. if you apply your brakes, what is the probability you will brake to stop within 45 feet or less.
b. If the only way to avoid collision is to brake to stop, what is the probability that you will avoid the collision