Question 1035691: The mean of a normal probability distribution is 60, the standard deviation is 5.
About what percent of the observations lie between 55 and 65?
About what percent of the observations lie between 50 and 70?
About what percent of the observations lie between 45 and 75?
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! 55 to 65 are 1 standard deviation from the mean 60, and hence by the empirical rule, around 68% of all observations lie bet ween 55 and 65.
50 to 70 are 2 standard deviations from the mean 60, and hence by the empirical rule, around 95% of all observations lie bet ween 50 and 70.
45 to 75 are 3 standard deviations from the mean 60, and hence by the empirical rule, around 99.7% of all observations lie bet ween 45 and 75.
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