Step 1 :The Empirical Rule, also known as the 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data will fall within three standard deviations of the mean. The rule is so named because 68% of the data falls within one standard deviation, 95% falls within two, and 99.7% falls within three.
Step 2 :In the context of a binomial experiment, the Empirical Rule can be used to identify unusual results when the binomial distribution is approximately bell shaped. This is because the binomial distribution approaches a normal distribution as the number of trials increases, given that the probability of success remains constant.
Step 3 :The condition for a binomial distribution to be approximately normal is that both np and n(1-p) are greater than or equal to 10, where n is the number of trials and p is the probability of success. This is because these conditions ensure that the distribution is not too skewed and that there is enough data for the distribution to approximate a normal distribution.
Step 4 :Therefore, the correct answer is C. When the binomial distribution is approximately bell shaped, about 95% of the outcomes will be in the interval from μ-2σ to μ+2σ. The Empirical Rule can be used to identify results in binomial experiments when np(1-p) ≥ 10.
Step 5 :Final Answer: \(\boxed{\text{C}}\)