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What is the expected value, variance, pdf and cdf of the binomial, poisson, geometric, hypergeometric, exponential, normal, uniform, beta, gamma, log-normal, and chi-square random variables?

What is the expected value, variance, pdf and cdf of the binomial, poisson, geometric, hypergeometric, exponential, normal, uniform, beta, gamma, log-normal, and chi-square random variables? For each random variable, give at least one problem or instance in which it would be used

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