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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the expectation of tossing a fair coin twice?
💡 Hint: Consider the probabilities of getting 0, 1, or 2 heads.
Question 2
Easy
Calculate the expectation for a discrete random variable with values {1, 2, 3} and probabilities {0.2, 0.5, 0.3}.
💡 Hint: Use the formula E(X) = ∑x_i * p_i.
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 the expectation of rolling a fair 6-sided die?
- 3
- 3.5
- 4
💡 Hint: Consider how you can calculate the average of the sides.
Question 2
True or False: Expectation can be calculated using both sums and integrals.
- True
- False
💡 Hint: Recall the different approaches to calculate expectation.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given X is a normal random variable with mean = 10 and variance = 4, calculate E(X + 3).
💡 Hint: Use the linearity property of expectation.
Question 2
Explain how expectation can simplify the analysis of a probability distribution in financial modeling.
💡 Hint: Think about the implications of average outcomes in risk assessment.
Challenge and get performance evaluation