Probability and Statistics for Intermediate Maths
Master probability, distributions, and inference for exams and beyond. Start building your data skills today!
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? Course Description
Probability and Statistics for Intermediate Maths offers a full exploration of probability theory and statistical inference tailored for senior high school students across Australia. Whether you’re studying VCE Maths Methods, NSW HSC Mathematics Advanced or Extension, QLD Mathematical Methods, WA ATAR Methods, or SACE Stage 2, this course builds a solid foundation in both discrete and continuous probability models, statistical reasoning, and real-world data analysis.
You’ll master key concepts such as random variables, binomial and normal distributions, confidence intervals, and the Central Limit Theorem. Lessons are structured to move from fundamentals to advanced applications, making probability and statistics accessible, logical, and exam-focused.
Perfect for students preparing for major assessments, university entrance exams, or strengthening data literacy for future academic and career success.
⭐ Key Features
- Comprehensive Probability & Statistics Curriculum Covers probability rules, discrete and continuous distributions, statistical inference, and real-world modelling.
- Step-by-Step Development Build understanding progressively from basic concepts like sample spaces to advanced topics like confidence intervals and the Central Limit Theorem.
- Real-World Application Focus Learn how probability and statistics are applied in real-life scenarios including surveys, experiments, and business decisions.
- Visual, Structured Learning Use tree diagrams, probability density functions, and distribution graphs to visualize complex ideas easily.
- Exam-Ready and Future-Proof Essential preparation for senior exams and future studies in mathematics, science, commerce, and data-driven fields.
- Interactive Q&A + Optional 1-on-1 Tutoring Each course includes a built-in Q&A section. Ask questions where you’re stuck—our tutors will respond within the course. Need deeper support? 1-on-1 tutoring is available.
Additional fees apply for private sessions.
? Keyphrases
- Probability and Statistics
- Intermediate Maths Probability Course
- Senior High School Statistics and Probability
- VCE Maths Methods Unit 3 & 4 Statistics
- HSC Advanced/Extension Probability and Statistics
- QLD Mathematical Methods Statistics and Inference
- WA ATAR Methods – Probability and Statistics
- SACE Stage 2 Statistics and Data Analysis
- Probability Techniques and Statistical Reasoning
1. Basic Concepts of Probabilities
Starting Course
2. Discrete Random Variables
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12
4.2.1 Discrete Probability Distributions and Mass Functions -
13
4.2.2 Uniform Discrete Random Variables
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14
4.2.3 Discrete Probability Distributions - the Mathematics Side
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15
4.2.4 Expected Value (Mean)
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16
4.2.5 Expected Value (Mean) of a Function
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17
4.2.6 Variance and Standard Deviation
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18
4.2.7 Standard Deviation
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19
4.2.8 Bernoulli Sequence
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20
4.2.9 Binomial Probability Distribution
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21
4.2.10 Using Binomial Random Variables
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22
4.2.11 Graph of Binomial Distribution
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23
4.2.12 Binomial Distribution - Expectation and Variance
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24
4.2.13 Binomial Distribution - Finding the Sample Size
3. Continuous Random Variables
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28
4.3.1 Continuous Probability Distribution
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29
4.3.2 Properties of Probability Density Functions
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30
4.3.3 Identifying Probability Density Functions
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31
4.3.4 Continuous Probability Distribution - Conditional Probabilities
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32
4.3.5 Expected Value (Mean)
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33
4.3.6 Percentiles and the Median
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34
4.3.7 Variance and Standard Deviation
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35
4.3.8 Interquartile Range
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36
4.3.9 Interpretation of Mean and Variance
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37
4.3.10 Linearity of Probability Density Functions
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38
4.3.11 Cumulative Distribution Functions (Not Required)
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39
4.3.12 Standard Normal Distribution
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40
4.3.13 (General) Normal Distribution and 68-95-99.7% Rule
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41
4.3.14 Finding Normal Distribution Probabilities
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42
4.3.15 Real-Life Application of Normal Distributions
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43
4.3.16 Normal Approximation to the Binomial Distribution
4. Statistical Inference
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4.4.1 Concepts of Population and Samples
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45
4.4.2 Random Samples
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46
4.4.3 Sample and Population Proportion
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4.4.4 Distribution of Sample Proportion
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48
4.4.5 Approximating Sample Proportion Distribution
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49
4.4.6 The Central Limit Theorem
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50
4.4.7 Point Estimates and Confidence Interval
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51
4.4.8 Constructing Confidence Interval
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52
4.4.9 Understanding Confidence Interval
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4.4.10 Precision and Margin of Error
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54
4.4.11 Trade-off Between Confidence Levels and Margin of Error
FAQ 1
Faq Content 1
FAQ 2
Faq Content 2
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Course details
Duration
10 hours
Lectures
53
Video
9 hours
Quizzes
1
Level
Advanced
Basic info
- Course Title: Probability and Statistics for Intermediate Maths
- Level: Senior High School
- Suitable Curricula:
- VCE Maths Methods (Unit 3 & 4),
- NSW HSC Mathematics Advanced/Extension,
- QLD Mathematical Methods,
- WA ATAR Methods,
- SACE Stage 2
- Mode: Online, Self-Paced
Intended audience
This course is designed for:
- Students enrolled in senior maths courses
- Learners preparing for final assessments or university entrance exams
- Students seeking a clearer understanding of probability and statistics
- Anyone interested in building foundational data literacy and analytical skills
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