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Binomial distribution
P(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ, q = 1 − p
Where: p = probability of success, q = probability of failure
Solved example
Given: p = 7
Find: q (probability of failure)
- Formula: q = 1 - p
- Substitute the values: q = 1 - 7
- Result: q = -6
Answer: q = -6
Calculator
How to calculate Binomial distribution
- Write down the formula: P(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ, q = 1 − p.
- Note the known values (p).
- Substitute them and simplify to find q.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Binomial distribution?
The formula is P(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ, q = 1 − p, where p = probability of success, q = probability of failure.
What is Binomial distribution when p = 7?
q = -6. Substitute the values into P(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ, q = 1 − p and simplify.