9.1.4 - Properties of Expectation
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Practice Questions
Test your understanding with targeted questions
Find E(10). What is it?
💡 Hint: The expectation of a constant equals the constant itself.
If E(X) = 4, find E(2X).
💡 Hint: Use the linearity property.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is E(0)?
💡 Hint: Think about how constants behave.
If X and Y are independent, does E(XY) = E(X) + E(Y)?
💡 Hint: Recall the multiplicative property.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Let X and Y be independent random variables with E(X) = 4 and Var(X) = 9. Compute E(X^2) using the properties learned.
💡 Hint: Remember the formula for variance relates to expectation!
Prove the multiplicative property of expectation for independent random variables using definitions.
💡 Hint: Write out the definitions and express independence clearly.
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