Distribución Geométrica | | UPV

Title: Geometric Distribution Description: The geometric probability distribution is described. Cabrera García, S. (2009). Geometric Distribution. http://hdl.handle.net/10251/5058 Automatic description: In this video, the professor from the Polytechnic University of Valencia explains the geometric distribution in the context of discrete variables. The geometric distribution is applied to binary experiments, where the number of failures before the first success is counted, under the condition of statistical independence and a constant probability of success per attempt. The probability function of this distribution is decreasing, similar to the exponential distribution, and depends on the parameter "p," which is the probability of success and varies between zero and one. The professor develops the cumulative distribution function of the geometric distribution and shows how to calculate its mean, which is (1/p) - 1. He then illustrates this with a practical example, calculating the probability of an electrical transformer failing within the first five years, as well as between the sixth and tenth years, applying the "loss of memory" property of the geometric distribution. Finally, he presents formulas for calculating the mean, variance, and standard deviation in a hypothetical example and highlights the usefulness of the distribution in engineering for estimating the lifespans of devices or systems. Author: Cabrera García Suitberto Universitat Politècnica de València UPV: https://www.upv.es More videos at:    / valenciaupv   Access our MOOCs: https://upvx.es #Geometrica #Probabilidades #Distribucion #