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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-P6-PO-0121 markL1 FoundationCalculatorPoisson for binomial
B(n,p)B(n,p) may be approximated by a Poisson distribution when
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0013 marksL1 FoundationCalculatorPoisson for binomial
X∼B(500,0.004)X\sim B(500,0.004). Use a suitable approximation to find P(X≤1)P(X\le1), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0022 marksL1 FoundationCalculatorPoisson for binomial
X∼B(1000,0.002)X\sim B(1000,0.002). Use a Poisson approximation to find P(X=3)P(X=3), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0031 markL1 FoundationCalculatorPoisson for binomial
For which binomial distribution is a Poisson approximation most suitable?
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0061 markL1 FoundationCalculatorNormal for Poisson
A normal approximation to Po(λ)\text{Po}(\lambda) is suitable when, approximately,
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO-Q031 markL1 FoundationCalculatorNormal for Poisson
Approximating X∼Po(25)X\sim\text{Po}(25) by a normal distribution, you use
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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO-0053 marksL2 StandardCalculatorPoisson for binomial
X∼B(200,0.015)X\sim B(200,0.015). Use a suitable approximation to find P(X=4)P(X=4), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0044 marksL2 StandardCalculatorNormal for Poisson
X∼Po(50)X\sim\text{Po}(50). Use a normal approximation to find P(X>55)P(X>55), correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO3-0072 marksL2 StandardCalculatorPoisson for binomial
1.5%1.5\% of components are defective, independently. Use a Poisson approximation to find the probability that a box of 200200 contains no defective components, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-9709-P6-PO-0064 marksL3 ExamCalculatorNormal for Poisson
X∼Po(40)X\sim\text{Po}(40). Use a 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-P6-PO3-0054 marksL3 ExamCalculatorNormal for Poisson
X∼Po(30)X\sim\text{Po}(30). 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-P6-PO3-0085 marksL4 ChallengingCalculatorNormal for Poisson
Customers arrive at random at an average rate of 22 per minute. Use a suitable approximation to find the probability of fewer than 110110 arrivals in one hour, correct to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme