STATS 2B03 Chapter Notes - Chapter 4: Cumulative Distribution Function, Random Variable, Bernoulli Trial
19 Jun 2013
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The probability distribution of a discrete random variable is a table, graph, formula, or other device used to specify all possible values of a discrete random variable along with their respective probabilities. Cumulative distributions: may be obtained by successively adding the probabilities. Graph of a cumulative probability distribution is called an ogive. Mean and variance of discrete probability distributions: , where p(x) is the relative frequency of a given random variable x. the standard deviation is simply the positive square root of the variance. When a random process or experiment, called a trial, can result in only one of two mutually exclusive outcomes, the trial is called a bernoulli trial. The bernoulli process: a sequence of bernoulli trials forms a bernoulli process under the following conditions: Each trial results in one of two possible, mutually exclusive, outcomes. One of the possible outcomes is denoted (arbitrarily) as a success, and the other is denoted as a failure.
