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For a Car Traveling 35 Miles Per Hour (Mph), the Distance

Question 94

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For a car traveling 35 miles per hour (mph), the distance required to brake to a stop is normally distributed with mean of 55 feet and a standard deviation of 8 feet. Suppose you are traveling 35 mph in a residential area and a car moves abruptly into your path at a distance of 65 feet.
If you apply your brakes, what is the probability that you will brake to a stop within 45 feet or less?
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Within 55 feet or less?
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If the only way to avoid a collision is to brake to a stop, what is the probability that you will avoid the collision?
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