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At Burnt Mesa Pueblo, archaeological studies have

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort todetermine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of(year) 1245 with a standard deviation of 32 years. The distribution of dates was more or less moundshaped and symmetrical about the mean. Use the empirical rule to estimate the following.(a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will befoundbetweenandA.D.(b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will befoundbetweenandA.D.(c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be foundbetweenandA.D.A person’s blood glucose level and diabetes are closely related. Let x be a random variable measured inmilligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, therandom variable x will have a distribution that is approximately normal with mean ? = 88 and standarddeviation ? = 21. Note: After 50 years of age, both the mean and standard deviation tend to increase.For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers tofour decimal places.)(a) x is more than 60(b) x is less than 110(c) x is between 60 and 110(d) x is greater than 140 (borderline diabetes starts at 140)

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