Скачать или смотреть Prob & Stats, Lec 6B: Geometric Distribution (PMF, CDF, MGF, Mean, Variance), Intro to Binomial RV

A random experiment consists of identical and independent Bernoulli trials with probability of success p. Let X = # of trials until the first success. Then X has a geometric distribution with Probability Mass Function (PMF) f(x) = p*q^(x-1) for x=1,2,3,..., where q = 1 - p is the probability of failure. We need the formula for the sum of a geometric series to find the Cumulative Distribution Function (CDF) and confirm that f(x) is a valid PMF. What are the mean and variance? Also, we introduce the binomial distribution, which involves combinations (n choose x) in the formula for its PMF. https://amzn.to/3rjDOoA (Probability and Statistics with Applications: A Problem Solving Text, by Asimow and Maxwell)

Calculus-based Probability and Statistics for Engineers and Scientists, Lecture 6, Part 2. Also for Data Scientists and Actuarial Science majors.

#ProbabilityAndStatistics #GeometricDistribution #BinomialDistribution

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