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Automobiles traveling on a road with a certain speed limit (miles per hour) are checked for speed by a state police radar system. The speeds

Automobiles traveling on a road with a certain speed limit (miles per hour) are checked for speed by a state police radar system. The speeds are believed to be normally distributed with mean of 60 and standard deviation of 6 miles per hour. a) Find the probability that speed of randomly selected automobile exceeds 75 miles per hour. b) Consider the speed of the fastest automobiles comprising top 10% of the speeds. Their speed is faster than what value? (take nearest z-value). c) Find 10 th percentile of the speed distribution and interpret it

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