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Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-9709-P5-ND-0091 markL1 FoundationCalculatorConditions
A normal approximation to B(n,p)B(n,p) is suitable when
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0012 marksL1 FoundationCalculatorApproximation
X∼B(50,0.4)X\sim B(50,0.4) is to be approximated by Y∼N(μ,σ2)Y\sim N(\mu,\sigma^2). Find μ\mu and σ2\sigma^2.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0031 markL1 FoundationCalculatorApproximation
Using a continuity correction, P(X<30)P(X<30) for a binomial XX is approximated by
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0051 markL1 FoundationCalculatorConditions
For which of these is a normal approximation suitable?
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-Q031 markL1 FoundationCalculatorApproximation
With a continuity correction, P(X≥30)P(X\ge30) for a binomial XX is approximated by
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0024 marksL2 StandardCalculatorApproximation
X∼B(80,0.5)X\sim B(80,0.5). Use a suitable normal approximation to find P(X≤35)P(X\le35), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0044 marksL2 StandardCalculatorApproximation
X∼B(200,0.3)X\sim B(200,0.3). Use a normal approximation to find P(X>70)P(X>70), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0072 marksL2 StandardCalculatorConditions
X∼B(n,0.2)X\sim B(n,0.2). Find the smallest value of nn for which the normal approximation is suitable (using np>5np>5 and nq>5nq>5).

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0084 marksL3 ExamCalculatorApproximation
X∼B(100,0.4)X\sim B(100,0.4). Use a suitable approximation to find P(X≤45)P(X\le45), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND-0104 marksL3 ExamCalculatorApproximation
X∼B(60,0.25)X\sim B(60,0.25). Use a normal approximation to find P(X>20)P(X>20), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0064 marksL3 ExamCalculatorApproximation
X∼B(120,0.25)X\sim B(120,0.25). Use a normal approximation to find P(25≤X≤35)P(25\le X\le35), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-ND3-0084 marksL3 ExamCalculatorApproximation
X∼B(100,0.4)X\sim B(100,0.4). Use a normal approximation to estimate P(X=40)P(X=40), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme