By setting μ = 0 and σ = 1 they defined a new distribution called Standard Normal Distribution. Therefore statisticians have invented a simpler method to calculate probabilities associated with the Normal Distribution. It is obvious that the calculation of above integral is somewhat complex. To calculate probabilities say P(a≤ X ≤b), we need to evaluate the following integral Statisticians have established an empirical rule for the Normal Distribution as a result of hundreds and thousands of experiments done over the years.Īccording to the Empirical Rule, 68.2% of data lies within 1 standard deviation from the meanĩ5% of the data lies within 2 standard deviations from the meanĩ9.7% of the data lies within 3 standard deviations from the mean Complex Calculation Problem…
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