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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find E(10). What is it?
💡 Hint: The expectation of a constant equals the constant itself.
Question 2
Easy
If E(X) = 4, find E(2X).
💡 Hint: Use the linearity property.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is E(0)?
- 0
- 1
- Undefined
💡 Hint: Think about how constants behave.
Question 2
If X and Y are independent, does E(XY) = E(X) + E(Y)?
- True
- False
💡 Hint: Recall the multiplicative property.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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!
Question 2
Prove the multiplicative property of expectation for independent random variables using definitions.
💡 Hint: Write out the definitions and express independence clearly.
Challenge and get performance evaluation