The Cumulative Distribution Function

All of the arithmetic associated with testing in the hyper-geometric distribution and with confidence intervals in the binomial distribution (respectively, Lessons 15, 19, Part I) was based on their CDFs. Here the extension of this latter concept will be made in two steps, one emphasizing the type of function which is “random”, the other emphasizing its “distribution”; the first step (definition) is actually a technical matter needed in the second: only measurable functions have distributions.