Calculate binomial probabilities, expected values, variance, and probability distributions for Bernoulli trials
Probability of success in each trial (0 ≤ p ≤ 1)
Total number of independent trials
Number of successes to calculate P(X = k)
Bernoulli Model Requirements:
Configure parameters and click "Calculate" to analyze the Bernoulli model
Master the fundamental concepts of discrete probability distributions and success/failure models
C(n,k) represents the number of ways to choose k successes from n trials, calculated as n!/(k!(n-k)!).
E[X] = np gives the average number of successes expected in n trials with success probability p.
Var(X) = np(1-p) measures the spread of the distribution around the expected value.
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