Given that the mean is 76 and the standard deviation is 12, fill in the answerboxes below the labels with their corresponding values. Then answer the questions below the graph about the Empirical Rule. -3 sd -2 sd -1 sd mean +1 sd +2 sd +3 sd According to the Empirical Rule, Approximately 68 % of the data values fall between and Approximately 95 % of the data values fall between and Approximately 99.7 % of the data values fall between and
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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