What is the geometric division?

Geometric distribution is a discrete division of probability, which counts the number of attempts Bernoulli until one success is gained. Bernoulli's attempt is an independent repetitive event with a fixed probability p success and probability q = 1-P failure, such as a coin rolling. Examples of variables with geometric distribution include counting the number, how many times a pair of cubes should be turned until 7 or 11 rolled or examines the products on the assembly line until the defect is found. The probability of success in the first attempt is p , the probability of the second attempt is pq , the probability of the third attempt is pq

2 , etc. Generalized probability of nth Probability of success at fin.al trial. Geometric distribution is a specific example of a negative binomic distribution that counts the number of attempts Bernalli until they achieve success. Some texts also refer to this as Pascal distribution, although others use this term more generally for any negative binomic distribution.

Geometric distribution is the only division of discrete probability with a property without memory that states that probability is not affected by what happened before. This is due to the independence of Bernoulli's attempts. For example, if the variable is, for example, the number of times, how many times it is necessary to turn the roulette wheel to appear black, the number, how many times the wheels have appeared in red before counting does not affect distribution.

The geometric distribution diameter is 1/p . So if the likelihood of the product on the assembly lineg is defective is 0.0025, one would expect to explore 400 products on average before finding a defect. The geometric distribution variance is q/p2 .