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distributions


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  1. Biased random walks, distributions

  2. Standard distribution, binomial distribution, two random variables.

  3. Discrete vs. continuous distributions, PDFs, variance, standard deviation, Uniform universality.

  4. Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions.

  5. Continuous random variables, exponential distribution.

  6. Geometric distributions.

  7. Joint, conditional, and marginal distributions, 2-D LOTUS, expected distance between Uniforms, chicken-egg.

  8. This is a math course aimed at students with life science majors covering elementary probability, probability distributions, random variables, and limit theorems.

  9. MGFs to get moments of Expo and Normal, sums of Poissons, joint distributions.

  10. Multivariable distribution, binomial distribution, Bernoulli trials, geometric distributions.

  11. Normal distribution.

  12. Standard normal distribution, cumulative distribution function.