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👉 2025 HSC Maths Ext 1 Q4 | Mean & Variance of a Bernoulli Random Variable

Keywords: Bernoulli random variable, Bernoulli distribution explained, mean and variance statistics, HSC maths extension 1 statistics, probability distributions maths, expected value and variance, discrete random variables explained, 2025 HSC maths ext 1 solutions, statistics exam questions solved, how to find variance probability, probability distribution table maths, random variable mean formula, Bernoulli trials probability, year 12 statistics revision, extension maths probability questions, statistics formulas explained, exam probability techniques, The Maths Studio In this video, we solve a 2025 HSC Maths Extension 1 statistics question involving a: 👉 Bernoulli Random Variable You’ll learn how to calculate: The mean (expected value) The variance using probability distribution methods step-by-step. 📌 What you’ll learn: What a Bernoulli random variable is How probability distributions work How to calculate expected value E(X) How to calculate variance Var(X) Common mistakes in statistics exam questions 🎯 Perfect for: HSC Maths Extension 1 students Year 12 probability and statistics revision Exam-style random variable questions Students learning distributions and variance 💡 Why this topic matters: Probability distributions are a major part of HSC statistics. Understanding Bernoulli variables builds the foundation for binomial distributions and more advanced probability topics. 🔔 Subscribe to The Maths Studio for more HSC statistics walkthroughs, probability tutorials, and exam preparation videos.