The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl. Assume this level varies from child to child according to an approximate normal distribution. How high are the levels for the highest 2% of all children?

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The mean cholesterol level in children is 175 mg/dl with standard deviation 35 mg/dl.  Assume this level varies from child to child according to an approximate normal distribution.  What percentage of children have a cholesterol level above 200 mg/dl?Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage.  In healthy Alaskan brown bears, the amount of porphyrin in the bloodstream (in mg/dl) has approximate normal distribution with a mean of 38 mg/dland a standard deviation of 12.  What proportion of these bears have between 27.5 and 67.5 mg/dl porphyrin in their bloodstream?A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet.  Assume that these amounts have approximately a normal distribution.  What proportion of trees contains more than 150 cubic feet?GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34.  What proportion of freshman biology majors have GPA above 3.50?Mensa is an organization whose members possess IQs in the top 2% of the population.  If the IQs are normally distributed with a mean of 100 and a standard deviation of 15, what is the minimum IQ necessary for admission?Healthy 10-week-old domestic kittens have average weight 24.5 oz. with a standard deviation of 5.25 oz.  The distribution is approximately normal.  A kitten isdesignated as dangerously underweight when, at 10 weeks, it weighs less than 10.0 oz.  What proportion of healthy kittens will designated as dangerously underweight?

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