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

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Calculating Binomial Probabilities
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What does 'cumulative' mean in the context of cumulative probability?

Running total

What does cumulative probability represent?

P(X≤n)P(X \leq n)

Which calculator function should be used to find P(X≤10)P(X \leq 10)?

Binomial CD

Which calculator function should be used to find P(X=5)P(X = 5)?

Binomial PD

How do you calculate P(X>6)P(X > 6) using cumulative probability?

1−P(X≤6)1 - P(X \leq 6)

For X∼B(20,0.35)X \sim B(20, 0.35), what is P(X>6)P(X > 6)?

0.5834

How do you calculate P(2≤X≤7)P(2 \leq X \leq 7) using cumulative probabilities?

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

What must you do if given an inequality that is not ≤\leq?

Convert to involve ≤\leq

For X∼B(20,0.35)X \sim B(20, 0.35), what is P(X=5)P(X = 5)?

0.1272

For X∼B(20,0.3)X \sim B(20, 0.3), what is P(X≤10)P(X \leq 10)?

0.9829

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