CSCI 3022 Lecture 7: Lecture 07

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Ex: suppose you roll 2 fair, six-sided dice. Let x be a random variable representing the maximum of the 2 dice. Discrete r. v. "s can be categorized into different types or classes that each model different real-world situations. The bernoulli distribution is used to model experiments with only 2 possible outcomes. Often referred to as success and failure , and encoded as 1 and. If we have p (1) = , and p (0) = 1-p, then for x in {0, 1}, we have: p (x) = p (1-p) We"ll come back to bernoulli distribution in a minute. Counting comes up all over the place in probability (and therefore in data science, comp sci, math, physics, etc ) But we"re interested in counting problems that require a bit more thought: Dan, chris, rhonda and tony line up at the coffee stand.

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