# Question

Verify the empirical rule by using Table A, software, or a calculator to show that for a normal distribution, the probability (rounded to two decimal places) within

a. 1 standard deviation of the mean equals 0.68.

b. 2 standard deviations of the mean equal 0.95.

c. 3 standard deviations of the mean is very close to 1.00. In each case, sketch a normal distribution, identifying on the sketch the probabilities you used to show the result.

a. 1 standard deviation of the mean equals 0.68.

b. 2 standard deviations of the mean equal 0.95.

c. 3 standard deviations of the mean is very close to 1.00. In each case, sketch a normal distribution, identifying on the sketch the probabilities you used to show the result.

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