Exam 10: The Normal Distributions

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The heights of adult males are approximately Normally distributed with a mean of 70 inches and a standard deviation of 3 inches. An adult male is categorized as "short" if he is less than 64 inches tall and categorized as "tall" if he is in the top 3% of adult males in terms of height. What proportion of adult males is classified as short?

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The pH measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and standard deviation 0.3. What is the approximate probability that the pH measurement of a randomly selected water specimen is a value between 7.5 and 8.2?

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The lengths of 1-year-old girls can be described using a Normal distribution with a mean of 29 inches and a standard deviation of 1.2 inches. Using your calculator, what percent of 1-year-old girls are longer than 31.4 inches?

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