Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of ...

To find the probability that a random sample of 1,000 people contains less than 48.5% female or more than 53.5% female when the population's female ratio is 51.1%, we use the binomial distribution.

2 University of Queensland, School of Population Health and Queensland Children's Medical Research Institute 3 University of Queensland, School of Population Health and University of Washington, ...