Q.2
In normal distribution theorem, the percentage of area that lies between ±3σ is:
(1) 99.73%
(2) 100%
(3) 95.45%
(4) 68.27%
- Empirical Rule (68-95-99.7 Rule) of Normal Distribution: In any standard normal distribution ($\mu, \sigma^2$):
- Area within $\mu \pm 1\sigma$: 68.27% of the total population area.
- Area within $\mu \pm 2\sigma$: 95.45% of the total population area.
- Area within $\mu \pm 3\sigma$: 99.73% of the total population area.
- Statistical Significance: Only $0.27\%$ of the distribution lies in the extreme tails beyond $\pm 3$ standard deviations ($0.135\%$ in each tail).
Correct option: (1) 99.73%
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