SOLUTION: Suppose the variable X has a normal distribution with mean 36 inches and standard deviation 2 inches.What proportion of these values is between 32 and 40 inches? If one of these X

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Question 391657: Suppose the variable X has a normal distribution with mean 36 inches and standard deviation 2 inches.What proportion of these values is between 32 and 40 inches? If one of these X values is chosen at random, what is the probability that it is between 34 and 38 inches?

Answer by robertb(5830) About Me  (Show Source):
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The values between 32 and 40 inches are within 2 standard deviations from the mean 36, and so covers around 95.4% of the distribution. The values between 34 and 38 inches are within 1 standard deviation from the mean 36, and so covers around 68.2% of the distribution.