How can binomial distribution be used in music analysis or computational creativity?

The Binomial Distribution · There are a fixed number of experiments/trials, n n . · There are only two possible outcomes for each trial, usually called 'success ... Abstract. Two generalizations of the simple binomial distribution are common in statistical text-books, one due to W. Lexis and the other to S. D. Poisson. The binomial distribution is a type of discrete probability distribution, which has only two independent and mutually exclusive outcomes—say “success” and “ ... Mar 13, 2025 ... Swiss mathematician Jakob Bernoulli, in a proof published posthumously in 1713, determined that the probability of k such outcomes in n ... public BinomialDistribution(int trials, double p) Create a binomial distribution with the given number of trials and probability of success. Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes. Binomial distribution is a statistical distribution that summarizes the probability that a value will take one of two independent values under a given set of ... The mean of a binomial distribution is p and its standard deviation is sqr(p(1-p)/n). The shape of a binomial distribution is symmetrical when p=0.5 or when n ... Dec 1, 1996 ... The statistical distributions of the counts of organisms are generally skewed, and hence not normally distributed, nor are variances ... Mar 15, 2020 ... Comments · Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2 · Bayes theorem, the geometry of changing ...