Combinatorics. Conditional Probability. Independence. Discrete and continuous random variables. Sigma algebras. Joint, marginal, and conditional distributions. Conditional and unconditional expectations and variance. Derived distributions. Characteristic functions. Convergence of random variables. Limit theorems. Unbiased estimates of mean and variance. Cochran's Theorem. (Cannot be taken for credit in addition to MA 381 or MA 581.)

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