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Exercise

Exact sampling distribution

To quantify how the point estimate (sample statistic) you are interested in varies, you need to know all the possible values it can take and how often. That is, you need to know its distribution.

The distribution of a sample statistic is called the sampling distribution. When we can calculate this exactly, rather than using an approximation, it is known as the exact sampling distribution.

Let's take another look at the sampling distribution of dice rolls. This time, we'll look at five eight-sided dice. (These have the numbers one to eight.)

8 sided die

pandas, numpy, and matplotlib.pyplot are loaded with their usual aliases. The expand_grid() function is also available, which expects a dictionary of key-value pairs as its argument. The definition of the expand_grid() function is provided in the pandas documentation.

Instructions 1/3
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  • Expand a grid representing 5 8-sided dice. That is, create a DataFrame with five columns from a dictionary, named die1 to die5. The rows should contain all possibilities for throwing five dice, each numbered 1 to 8.
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