Binomial distribution P(X=r) = ⁿCᵣ pʳ qⁿ⁻ʳ (P(X=r) = ⁿCᵣ · pʳ · qⁿ⁻ʳ where q=1−p, r=0,1,,n)
jee-mainjee-advanced
P(X=r) = ⁿCᵣ · pʳ · qⁿ⁻ʳ where q=1−p, r=0,1,...,n
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Number of independent trials |
| p | Probability of success in each trial |
| q | 1−p (probability of failure) |
| r | Number of successes |
When to use this
Trials are independent, identical, with only two outcomes (success/failure). Mean = np, Variance = npq.