Discussion
The area under normal distribution covered within \(\mu \pm 3\sigma\) limits is
Answer: C
The area under the normal curve within \(\mu \pm 3\sigma\) is 0.9973, which is the third value. The standard normal areas are 0.6827 within one standard deviation, 0.9545 within two and 0.9973 within three of the mean.
So 0.6827 is the area for \(\mu \pm \sigma\) and 0.9545 is for \(\mu \pm 2\sigma\). The value 1.0000 is the total area under the whole curve, which is approached only as the limits go to infinity and is not reached at three standard deviations.
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