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The 'Bernoulli Distribution' is associated with :

  • A.Multinominal Distribution
  • B.Binomial Distribution
  • C.Hypergeometric Distribution
  • D.Poisson Distribution

Answer: B

The Bernoulli distribution is associated with the Binomial Distribution.

A Bernoulli trial has two outcomes, success with probability \(p\) and failure with probability \(1 - p\). The binomial distribution gives the number of successes in \(n\) independent Bernoulli trials, so a binomial variable is the sum of \(n\) Bernoulli variables, and the Bernoulli distribution is the binomial with \(n = 1\).

The multinomial extends the binomial to more than two outcomes, the hypergeometric covers sampling without replacement, and the Poisson is a limiting case of the binomial for rare events. None is the distribution built directly from Bernoulli trials in this way.

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