Binomial distributions (AQA GCSE Statistics): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
ShowHide
Practise the cards
10 cards from this deck
What is the binomial expansion for (p + q)^3?
What is the binomial expansion for (p + q)^3?
p^3 + 3p^2q + 3pq^2 + q^3
How do you find coefficients in (p + q)^5?
How do you find coefficients in (p + q)^5?
Use nCr: 5C0, 5C1, 5C2, 5C3, 5C4, 5C5
What does B(n, p) represent in binomial distribution?
What does B(n, p) represent in binomial distribution?
n = trials, p = success probability
What are the three conditions for binomial distribution?
What are the three conditions for binomial distribution?
Fixed trials, independent trials, two outcomes
How to calculate P(X = 2) for B(4, 0.4)?
How to calculate P(X = 2) for B(4, 0.4)?
Use P(X = k) = (nCk)(p^k)(q^(n-k)) for k=2.
How to calculate P(X > 2) for B(4, 0.4)?
How to calculate P(X > 2) for B(4, 0.4)?
Use 1 - P(X ≤ 2) with binomial probabilities.
What is the mean of B(100, 0.4)?
What is the mean of B(100, 0.4)?
Mean = 40
What does 'at least' mean in probability?
What does 'at least' mean in probability?
'At least' means ≥
How to calculate complementary probability?
How to calculate complementary probability?
Use 1 - P(unwanted outcomes)
Why use binomial expansion over tree diagrams?
Why use binomial expansion over tree diagrams?
It's more efficient for multiple trials.