Quantiles and Functions of Random Variables

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Covers the basics of statistical theory, including probability models, random variables, and sampling distributions.

Explores quantiles, sampling, and histogram density for understanding distributions and constructing confidence intervals.

Discusses probability distributions and the Central Limit Theorem, emphasizing their importance in data science and statistical analysis.

Introduces the basics of probability models, covering random variables, distributions, and statistical estimation.

Covers the normal distribution, including its properties and calculations.

Explores moment-generating functions, linear combinations, and normality of random variables.

Covers the estimation of a random variable R and the calculation of conditional densities.

Explores advanced probabilities, random variables, and expected values, with practical examples and quizzes to reinforce learning.

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Explores random variables, expectation, and independence in probability theory.