21. Sturges'formula is derived from a binomial distribution and implicitly assumes an approximately normal distribution. 22. Another simulation using the binomial distribution . 23. Notice that this implies that two independent random variables with binomial distributions have to be regarded. 24. Using the binomial distribution , I was able to solve the question using one short expression: 25. See Binomial distribution # Poisson approximation. 26. These Krawtchouk polynomials are orthogonal with respect to symmetric binomial distributions , p = 1 / 2. 27. The binomial distribution has one of two possible outcomes for each among a succession of independent trials. 28. Where the dispersion parameter " & tau; " is exactly one for the binomial distribution . 29. That is, draw the graph of the normal approximation along with a histogram of the binomial distribution . 30. Note : The negative binomial distribution was originally derived as a limiting case of the gamma-Poisson distribution.