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#BinomialDistribution #BinomialDistributionFormula #ProbabilityCalculation #BernoulliDistribution In the video on the binomial distribution, we look at the derivation of the formula, the calculation, expected value and variance. First, we take a quick look at the Bernoulli distribution before we look at the properties of the binomial distribution, its prerequisites and the derivation of the formula. Then we look at the calculation by hand and finally we briefly discuss the expected value and variance of the binomial distribution. ☕ Buy a coffee: https://bit.ly/Kaffeespende-Statistik... ???? Other videos/playlists that might be of interest to you: ◻️ binompdf, binomcdf, Excel Binom.vert: • Binomial distribution - Binompdf, Binomc... ◻️ Combinatorics: • Combinatorics - Variation/Combination ... ◻️ Laplace probability: • Axioms of Kolmogorov - Probability... ◻️ Four-field table: • Four-field table - conditional probability... ◻️ Probability theory playlist: • Probability theory ???? Subscribe to the channel: / @statistikquelle Social Media: ???? - IG: / statistikquelle ???? - FACEBOOK: https://fb.me/Statistikquelle 00:00 Intro 00:41 What is stochastic independence 01:40 Independence based on a Coin toss explained 02:18 Independence explained using a game of roulette 02:58 Independence explained using the lottery 04:05 Summary Independence - understanding is important 04:37 Definition of stochastic independence 05:43 Testing stochastic independence: dice 07:21 Testing stochastic independence: four-field table 08:35 End credits Music: www.bensound.com