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For a car traveling 40 miles per hour (mph), the distance required to brake to a...

For a car traveling 40 miles per hour (mph), the distance required to brake to a stop is normally distributed with a mean of 140 feet and a standard deviation of 16 feet. Suppose you are traveling 40 mph in a residential area and a car moves abruptly into your path at a distance of 168 feet. (Round your answers to four decimal places.)

(a)

If you apply your brakes, what is the probability that you will brake to a stop within 112 feet or less?

If you apply your brakes, what is the probability that you will brake to a stop within 140 feet or less?

(b)

If the only way to avoid a collision is to brake to a stop, what is the probability that you will avoid the collision?

math   Statistics-And-Probability   
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