Calculating Binomial Probabilities (AQA A-Level Mathematics): Flashcards

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Calculating Binomial Probabilities
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What does 'cumulative' mean in probability?

Running total

Cumulative probability notation

P(X≤n)P(X \leq n)

Convert P(X>6)P(X > 6) using ≤\leq

1−P(X≤6)1 - P(X \leq 6)

Calculator function for P(X≤n)P(X \leq n)

Binomial CD

Calculator function for P(X=n)P(X = n)

Binomial PD

When to use Binomial CD

For cumulative probability P(X≤n)P(X \leq n)

When to use Binomial PD

For exact probability P(X=n)P(X = n)

Formula for P(a≤X≤b)P(a \leq X \leq b)

P(X≤b)−P(X≤a−1)P(X \leq b) - P(X \leq a-1)

Key rule for non-≤\leq inequalities

Convert to a calculation using ≤\leq

P(2≤X≤7)P(2 \leq X \leq 7) equals

P(X≤7)−P(X≤1)P(X \leq 7) - P(X \leq 1)

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