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What is discrete probability distribution ? State its properties.

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Suppose, probability of a discrete random variable. X is p[X = xi] = p(xi), where i = 1, 2, 3, ……, n, p(xi) > 0 and

\(\sum\limits_{i=1}^n\,P(x_i)=1\)

then set of real values {p(x1), p(x2), ……… p(xn)} is called probability distribution of a discrete random variable X. In tabular form it is written as follows:

Properties of discrete probability distribution:

  • For each value x of X. p(x) > 0.
  • Σ(x) = 1

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