9.1.5 - Variance and Relation to Expectation
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Practice Questions
Test your understanding with targeted questions
What is the expectation of a fair 6-sided die?
💡 Hint: Add the outcomes and divide by the number of faces.
How do you define variance?
💡 Hint: Think about how far each value is from the average.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for variance?
💡 Hint: Recall the definitions of expectation and variance.
True or False: Variance measures how concentrated the mean is.
💡 Hint: Think about what variance represents.
1 more question available
Challenge Problems
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A random variable X takes values 1, 2, 3 with probabilities 0.2, 0.5, 0.3. Calculate Var(X).
💡 Hint: Use the probabilities to find E(X) and E(X²) first.
Explain how variance plays a role in the context of stochastic PDEs and provide a specific example.
💡 Hint: Link variance with real-life applications in PDEs!
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