Problem
Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1. 2, 3, 4, 5, or 6, independent of what he has done in the past. Let X be the number of eggs that Harry eats in 10 days. Find the mean and variance of X.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.