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Cumulative Binomial Probability Calculator

This calculator determines the cumulative probability of obtaining up to r successes in n independent trials, where each trial has a probability of success p. This is also known as the Binomial Cumulative Distribution Function (CDF).

View Binomial Distribution TableLearn about Binomial Distributions

Common Applications:

  • Quality control in manufacturing
  • Risk assessment in finance
  • Medical trial analysis
  • Testing and sampling procedures
Input Parameters

Important Notes:

  • The number of trials (n) must be a positive integer
  • The number of successes (r) must be between 0 and n
  • The probability (p) must be between 0 and 1
  • This calculator provides cumulative probability P(X ≤ r)
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