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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the expectation of the number of heads in three tosses of a fair coin.
💡 Hint: Use the probabilities of getting heads for 0, 1, 2, and 3 heads.
Question 2
Easy
If X represents the outcome of rolling a fair six-sided die, calculate E(X).
💡 Hint: Sum the outcomes weighted by their probabilities.
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 expected value of a discrete random variable?
- The maximum possible outcome
- The average of all outcomes
- The product of outcomes
💡 Hint: Think about how it gives a central tendency of the outcomes.
Question 2
True or False: The expectation of a constant is equal to the constant itself.
- True
- False
💡 Hint: Consider what happens when you roll a die with the same number every time.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a random variable Y that can take values 1, 2, or 3 with probabilities 0.2, 0.5, and 0.3 respectively. Calculate E(Y).
💡 Hint: Use the weighted average formula for discrete random variables.
Question 2
A uniform distribution ranges from -1 to 1. Determine the expected value of this distribution.
💡 Hint: Recall how the midpoint formula gives you the average.
Challenge and get performance evaluation