9.1.6 - Expectation in Applications of PDEs
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Practice Questions
Test your understanding with targeted questions
What is the expectation of rolling a fair 6-sided die?
💡 Hint: Use the average of the outcomes from 1 to 6.
If a coin is flipped, what is the expected number of heads in 3 flips?
💡 Hint: Consider the probability of heads in each flip.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the expected value of a fair 6-sided die?
💡 Hint: Think about the sum of the possible results divided by the number of outcomes.
True or False: The expectation of the sum of random variables equals the sum of their expectations.
💡 Hint: Consider how averages aggregate.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a PDF f(x) = 2x for 0 < x < 1, calculate E(X).
💡 Hint: Use integration to find the average under the probability density function.
Explain how stochastic PDEs arise in real-world scenarios. Provide a detailed example.
💡 Hint: Connect physical systems and randomness in your explanation.
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