ABSTRACT
Statistical theory and practice are based upon the recognition that "randomness" can mean many things and be described by a wide range of probability distributions. Perhaps the simplest form of randomness is the uniform distribution. That means a set of two-digit random variables where every integer from 0 to 99 has an equal probability of occurring. This equal probability property describes the marginal distribution of the numbers. Statistical practice deals with collections of numbers, and a second property of "randomness" concerns how well consecutive numbers are "connected," how well one can predict the next number from a previous sequence of numbers. The exercises are designed to give the student a feel for both the uniform distribution and statistical independence. A good statistician should have a feel for what kinds and frequencies of patterns occur as the purely fortuitous result of random noise.
