Binomial Distribution Calculator
Calculate the probability of success in a sequence of independent trials using our binomial distribution calculator.
P(X = x):
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P(X < x):
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P(X ≤ x):
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P(X > x):
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P(X ≥ x):
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Understanding Binomial Distribution
A binomial distribution describes the probability of achieving a specific number of successes in a fixed number of independent trials, where each trial has the same probability of success.
When to Use Binomial Distribution
- Fixed number of trials
- Each trial is independent
- Only two possible outcomes (success/failure)
- Constant probability of success
Common Applications
Binomial distributions are used in various fields:
- Quality control in manufacturing
- Medical trial success rates
- Election polling and forecasting
- Sports statistics and game outcomes