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Terri Vogel, an amateur motorcycle racer, averages 129.15 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.3 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? XN( b. Find the proportion of her laps that are completed between 126.58 and 127.69 seconds. c. The fastest 4% of laps are under seconds. d. The middle 60% of her laps are from seconds to seconds