Binomial Trial

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A binomial trial is a discrete simple random experiment from a binary sample space (typically labeled as success outcome and failure outcome).





  • (Dubnicka, 2006f) ⇒ Suzanne R. Dubnicka. (2006). “Special Discrete Distributions - Handout 6." Kansas State University, Introduction to Probability and Statistics I, STAT 510 - Fall 2006.
    • BERNOULLI TRIALS: Many experiments consist of a sequence of trials, where
      • (i) each trial results in a “success” or a “failure,”
      • (ii) there are n trials (where n is fixed),
      • (iii) the trials are independent, and
      • (iv) the probability of “success,” denoted by p, 0 < p < 1, is the same on every trial.
    • TERMINOLOGY : In a sequence of n Bernoulli trials, denote by X the number of successes (out of n). We call X a binomial random variable, and say that “X has a binomial distribution with parameters n and success probability p.” Shorthand notation is X ~ B(n, p).