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For each part, sketch the curve, shade in the appropriate area, and list the calculator input 3. The heights, in feet, of black walnut trees are normally distributed with a mean of 93 and a standard deviation of 27. Find the probability that a randomly selected black walnut tree measures a) between 90 and 115 At b) more than 130 ft c) less than 100 ft d) Find P3, the height at the 37th percentile. e) Find the probability that a random sample of 7/ black walnut trees has a mean height over 85 ft