Calculate binomial probabilities, cumulative distributions, and statistical parameters for quality control, clinical trials, and statistical analysis
Total number of independent trials (1-1000)
Probability of success in each trial (0-1)
Number of successes to calculate probability for
Enter valid parameters to see results
A factory produces items with a 2% defect rate. What's the probability of finding exactly 3 defective items in a batch of 100?
n = 100, p = 0.02, k = 3
A treatment has a 70% success rate. In a group of 10 patients, what's the probability that at least 8 will respond positively?
n = 10, p = 0.7, calculate P(X ≥ 8)
An email campaign has a 15% click-through rate. Out of 50 emails sent, what's the probability of fewer than 5 clicks?
n = 50, p = 0.15, calculate P(X < 5)
An insurance company assesses that each policy has a 0.1% chance of a claim. For 30 policies, what's the probability of no claims?
n = 30, p = 0.001, k = 0