The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 9 grams per mililiter.
(a) What is the probability that the amount of collagen is greater than 62 grams per mililiter?
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(b) What is the probability that the amount of collagen is less than 76 grams per mililiter?
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(c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean?