Binomial Distribution Calculator
Calculate binomial probabilities, cumulative distributions, and statistical parameters. Perfect for quality control, clinical trials, and risk analysis with comprehensive statistical insights.
⚙️Parameters
The total number of independent trials or experiments
The probability of success on each individual trial (between 0 and 1)
The exact number of successes you want to calculate probability for
📊Results
Enter valid parameters to see results
💡Usage Examples
Quality Control
A factory produces items with a 2% defect rate. What's the probability of finding exactly 3 defects in a batch of 100 items?
n = 100, p = 0.02, k = 3
Clinical Trials
A drug has a 70% success rate. What's the probability that at least 8 out of 10 patients will recover?
n = 10, p = 0.7, calculate P(X ≥ 8)
Marketing Analysis
Email campaigns have a 15% response rate. What's the probability of getting fewer than 5 responses from 50 emails?
n = 50, p = 0.15, calculate P(X < 5)
Risk Assessment
A system has a 0.1% failure rate per day. What's the probability of no failures in 30 days?
n = 30, p = 0.001, k = 0