SOLUTION: The mean is m = 15.2 and the standard deviation is s = 0.9. Find the probability that X is greater than 16.1.

Question 476426: The mean is m = 15.2 and the standard deviation is s = 0.9.
Find the probability that X is greater than 16.1.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
16.1 - 15.2 = 0.9
By the empirical rule, values within 1 sd of the mean comprise 68% of the distribution. Hence 34% of the values are between 15.2 and 16.1.
Therefore 50% - 34% = 16% of the values must be greater than 16.1.
Hence the probability is 0.16 that X is greater than 16.1.
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