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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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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the expectation of a fair coin toss?
💡 Hint: Consider the probabilities of each outcome.
Question 2
Easy
Calculate the expectation for rolling a 4-sided die.
💡 Hint: Add all outcomes and divide by the number of sides.
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 the outcome when rolling a fair 6-sided die?
- 2.5
- 3
- 3.5
- 4
💡 Hint: Think about the average of all the outcomes.
Question 2
Is the expected value of a constant equal to the constant itself?
- True
- False
💡 Hint: Remember what a constant is.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You roll two 6-sided dice. What is the expected value of the sum of the two rolls?
💡 Hint: Calculate each die's expectation and sum them.
Question 2
Consider a random variable Z that can take values 0, 1, 2, or 3 with probabilities 0.1, 0.2, 0.4, and 0.3 respectively. Calculate E(Z) and variance.
💡 Hint: Use the definition of expectation and then apply the variance formula.
Challenge and get performance evaluation