MATH 314 Quiz 07

1. Provide one example of a permutation and one example of a combination, differernt from the examples below.

   poker, zip codes, restaurant orders, recipes, getting dressed, walking/driving paths to some destination

2. Consider the two datasets below. Without calculating the means or variances, compare the means and variances across the two datasets.
   1. $0, 2, 4, 6, 8, 10$
   2. $20, 22, 24, 26, 28, 30$
   1. Which dataset has the larger mean? Why?
   2. Which the larger variance? Why?
   3. What do your conclusions say about the relationship between the expectation values $\mathbb{E}[X]$ and $\mathbb{V}[X]$? Explain.