STAB22H3 Chapter Notes - Chapter 17: Bernoulli Trial, Geom, Probability Distribution
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STAB22H3 Full Course Notes
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The geometric probability model: the model that tells us the probability of how long it will take to achieve the first success in a series of bernoulli trials. Completely specified by the probability of success, . Bernoulli trials: situations where there is a random experiment with exactly two possible outcomes, success and failure, in which the probability of success is the same every time the experiment is conducted. Trails are independent q = 1 - . Geometric probability model for bernoulli trials: geom ( ) = probability of success q = 1 = probability of failure. X = number of trials until the first success occurs. The 10% condition: bernoulli trials must be independent. If the assumption is violated, it is okay to proceed as long as the sample is smaller than 10% of the population. Binomial model: denoted as binom (n, ) n = number of trials.
