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4 cards from this section. Quick, good the night before a test.
What is the expectation of a fair 6-sided die?
Add the outcomes and divide by the number of faces.
How do you define variance?
Think about how far each value is from the average.
What is the formula for variance?
Recall the definitions of expectation and variance.
True or False: Variance measures how concentrated the mean is.
Think about what variance represents.
A random variable X takes values 1, 2, 3 with probabilities 0.2, 0.5, 0.3. Calculate Var(X).
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.
Link variance with real-life applications in PDEs!
5 more questions in this section. Enroll free to practise them all.
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