CIE AS & A Level Maths : Probability & Statistics 1 Paper 5 Exam Style Questions New Syllabus - 2027-2028
CIE A Level Maths : Probability & Statistics 1 Paper 5 Exam Questions – New Syllabus 2025-2027
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Probability & Statistics 1 – Paper 5
Topic-wise Exam Style Questions with syllabus-based subtopics for Paper \(5\)
Representation of Data
- Choosing suitable ways to present data
- Stem-and-leaf diagrams
- Box-and-whisker plots
- Histograms and cumulative frequency graphs
- Mean, median, mode, range and interquartile range
- Standard deviation, grouped data and coded data
Permutations and Combinations
- Meaning of permutation and combination
- Selections and arrangements
- Arrangements of objects in a line
- Problems involving repetition
- Problems involving restrictions
- People sitting or standing in rows
Probability
- Elementary events and sample spaces
- Probability by enumeration
- Probability using permutations and combinations
- Addition and multiplication of probabilities
- Exclusive and independent events
- Conditional probability and tree diagrams
Discrete Random Variables
- Probability distribution tables
- Expected value \(E(X)\)
- Variance \(\operatorname{Var}(X)\)
- Binomial distribution \(B(n,p)\)
- Geometric distribution \(\operatorname{Geo}(p)\)
- Expectation and variance of binomial and geometric distributions
The Normal Distribution
- Normal distribution as a continuous model
- Using normal distribution tables
- Sketching normal curves and probabilities
- Standardisation using \(Z=\frac{X-\mu}{\sigma}\)
- Solving problems involving \(X\sim N(\mu,\sigma^2)\)
- Normal approximation to the binomial distribution with continuity correction
Probability & Statistics \(1\) – Paper \(5\) Full Access
Get complete access to CIE AS & A Level Mathematics \(9709\) Probability & Statistics \(1\) Paper \(5\) topic-wise questions with detailed solutions.
AS & A Level Maths Paper \(5\) – Full Access