Probability Theory

This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, a detailed treatment of Markov chains, continuous Markov processes, and more. Includes 150 problems, many with answers. Indispensable to mathematicians and natural scientists alike.
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    Medionje citiraoпрошле године
    Any set of r elements chosen from a population of n elements, without regard for order, is called a subpopulation of size r of the original population. The number of such subpopulations is given by

    THEOREM 1.3. A population of n elements has precisely

    subpopulations of size r < n.
    Medionje citiraoпрошле године
    The number is sometimes called the number of combinations of n things taken r at a time (without regard for order).
    Medionje citiraoпрошле године
    Roughly speaking, the probability P(A) of the event A equals the fraction of experiments leading to the occurrence of A in a large series of trials.

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