We started by reviewing the Empirical Rule and the related concept of Tolerance Intervals and 6-sigma. We continued with a discussion of the "z-scores." ("zed", not "zee".) We made use of the Tolerance Interval idea by looking at an example of quality improvement, i.e., the coffee temperature case.
Next, we looked at another measure of variation, namely, the pth percentile. We illustrated this concept by discussing two examples with n = 8, and n = 7. The calculation of the percentile was formalized by introducing a rule that involved two steps. We completed Chapter 2 with a discussion of the Box-and-Whisker plots.
The new Chapter 3 (Probability) was motivated with examples of coin toss, Lotto 6/49, the birthday problem, and Monty Hall's car-and-goats problem. We then looked at three methods for calculating probabilities. Next, a random experiment was defined and this was followed by sample spaces and events which were illustrated using the coin tossing and backgammon examples.
I hope you found the YouTube videos and the car-goats problem interesting.
We will continue with Chapter 3 (and finish it) next week.
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