ENGG 319 Chapter Notes -Bernoulli Trial, Geometric Distribution, Poisson Point Process
23 Nov 2012
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Assumes a nite number of values, where the probability for each value is equal. If there are x values, the probability for each one is 1/x. The probability of x "successes" out of n tries, where each event has the probability p. A series of bernoulli trials, with constant probability, which take x trials to get the st success. A generalization of geometric distribution, in which x is the number of trials required to acquire r successes. This distribution is memory-less. ( this distribution can essentially be taken to be the sum of r geometric distributions. ) Approximates the binomial distribution for large n values and low p values, in which the product of the two results in a moderate number. If x is a binomial random variable with parameters n and p, then: If x is a poisson random variable with theta as mean and standard: Describes the length until the rst count is obtained in a poisson process.
