When can the empirical rule be used to identify unusual results in a binomial​ experiment? why can the empirical rule be used to identify results in a binomial​ experiment?

Empirical rule is used to check whether Distribution is Normal or not.As Empirical rule is used to check whether all the data which is normally Distributed fall within the three standard Deviation along the Mean.If  68% of the data does not  fall within the first Standard Deviation, 95% of the Data does not fall within the Two Standard Deviation, and 99.7% of the data does not fall within the three Standard Deviation it means the Data is not normally distributed.Let me Demonstrate this by an example. Consider Mean life span of Rat to be 1.9 years and Standard Deviation of Rat to be .3 months.If we have to calculate whether life of Rat will be more than 0.6 years.1 St Standard deviation=0.6+0.3 and 1.6+0.3=0.9 to 1.92 nd Standard Deviation=0.6 and 1.9+0.3= 0.6 to 2.2 yearsThree Standard Deviation=0.6-0.3=0.3 and 2.2+0.3= 0 to 2.5 yearsAs 95% of the observation will lie above 0.6 years , so remaining 5 % of the data will be distributed in two parts ,i.e one lie above 2.2 years and and another below 0.6 years.So, Probability of surviving more than 0.6 years = 95% + %[tex]\frac{5}{2}[/tex]                                                                                    =97.5%