Salam Academy
Sign inCreate account
Practise

Question bank

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

Sign in to check answers. Your attempts build your mastery and error book.

12 questions

SA-9709-P5-DV-0012 marksL1 FoundationCalculatorDistributions
The random variable XX has P(X=x)=kxP(X=x)=kx for x=1,2,3,4x=1,2,3,4. Find kk.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0021 markL1 FoundationCalculatorBuilding tables
Three fair coins are thrown and XX is the number of heads. Find P(X=2)P(X=2).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0012 marksL1 FoundationCalculatorDistributions
The random variable XX has P(X=x)=k(x+1)P(X=x)=k(x+1) for x=0,1,2,3x=0,1,2,3. Find kk.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0021 markL1 FoundationCalculatorDistributions
XX takes the values 11, 22 and 33 with probabilities 0.20.2, 0.50.5 and pp. Find pp.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0031 markL1 FoundationCalculatorBuilding tables
Two fair coins are tossed and XX is the number of tails. Find P(X=1)P(X=1).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0051 markL1 FoundationCalculatorDistributions
XX takes the values 0,1,2,30,1,2,3 with probabilities 0.1, 0.3, 0.4, 0.20.1,\ 0.3,\ 0.4,\ 0.2. Find P(X≥2)P(X\ge2).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0081 markL1 FoundationCalculatorDistributions
Which of these could be a probability distribution for XX taking the values 0,1,20,1,2?
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-Q011 markL1 FoundationCalculatorDistributions
In any probability distribution, the probabilities
Choose one option

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0043 marksL2 StandardCalculatorBuilding tables
A bag contains 33 red and 22 blue counters. Two are taken at random without replacement, and XX is the number of red counters taken. Find P(X=1)P(X=1) and P(X=2)P(X=2).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0062 marksL2 StandardCalculatorBuilding tables
Two fair dice are thrown and DD is the difference between the scores (larger minus smaller, or 00 if equal). Find P(D=0)P(D=0) and P(D=1)P(D=1).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV1-0072 marksL2 StandardCalculatorDistributions
The random variable XX has P(X=x)=kxP(X=x)=\dfrac kx for x=1,2,3x=1,2,3. Find kk.

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme
SA-9709-P5-DV-0135 marksL4 ChallengingCalculatorBuilding tables
Two fair dice are thrown and XX is the larger of the two scores (or the common score if they are equal). Find P(X=4)P(X=4) and E(X)E(X).

Sign in or create a free account to check answers, get hints and track your progress.

Salam Academy Original Practice · Proposed mark scheme