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Poisson Distribution

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Multiple Choice

What is the probability of exactly k events occurring in a fixed interval of time or space, given that the average rate of occurrence is lambda?

  1. P(X = k) = (lambda^k * e^(-lambda)) / k!
  2. P(X = k) = (lambda^k * e^(-lambda)) / (k + 1)!
  3. P(X = k) = (lambda^k * e^(-lambda)) / k
  4. P(X = k) = (lambda^k * e^(-lambda)) / (k - 1)!
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