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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-IAL-S1-DR-0032 marksL1 FoundationCalculatorCDF
The cumulative distribution function of XX is F(1)=0.1F(1)=0.1, F(2)=0.35F(2)=0.35, F(3)=0.7F(3)=0.7, F(4)=1F(4)=1. Find P(X=3)P(X=3).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0011 markL1 FoundationNon-calculatorProbability function
P(X=x)=kP(X=x)=k for x=1,2,3,4,5x=1,2,3,4,5. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0021 markL1 FoundationNon-calculatorProbability function
XX takes the values 1,2,3,41,2,3,4 with probabilities 0.30.3, 0.250.25, pp and 0.150.15. Find pp.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0031 markL1 FoundationNon-calculatorProbability function
XX takes the values 1,2,3,41,2,3,4 with probabilities 0.10.1, 0.40.4, 0.30.3, 0.20.2. Find P(X≥2)P(X\ge2).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0041 markL1 FoundationNon-calculatorCDF
XX takes the values 1,2,3,41,2,3,4 with probabilities 0.10.1, 0.20.2, 0.30.3, 0.40.4. Find F(3)F(3).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0071 markL1 FoundationNon-calculatorProbability function
Two fair coins are tossed and XX is the number of heads. Find P(X=1)P(X=1).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR-G012 marksL1 FoundationCalculatorProbability function
P(X=x)=kxP(X=x)=kx for x=1,2,3,4x=1,2,3,4. Find kk.

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR-Q011 markL1 FoundationCalculatorCDF
F(x)F(x), the cumulative distribution function, means
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR-0042 marksL2 StandardCalculatorCDF
The cumulative distribution function of XX is F(x)=x216F(x)=\dfrac{x^2}{16} for x=1,2,3,4x=1,2,3,4. Find P(X=3)P(X=3).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR-0074 marksL2 StandardCalculatorProbability function
P(X=x)=k(x+1)P(X=x)=k(x+1) for x=0,1,2,3x=0,1,2,3. Find (i) kk and (ii) E(X)E(X).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0052 marksL2 StandardNon-calculatorProbability function
P(X=x)=x15P(X=x)=\dfrac x{15} for x=1,2,3,4,5x=1,2,3,4,5. Find P(X>3)P(X>3).

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Salam Academy Original Practice · Proposed mark scheme
SA-IAL-S1-DR1-0062 marksL2 StandardNon-calculatorCDF
The cumulative distribution function of XX is F(x)=x+k8F(x)=\dfrac{x+k}8 for x=1,2,3,4x=1,2,3,4. Find kk.

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Salam Academy Original Practice · Proposed mark scheme