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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the expected value of a single toss of a fair coin?
💡 Hint: Consider the values head and tails represent.
Question 2
Easy
For a die roll with outcomes from 1 to 6, what is E(X)?
💡 Hint: Use the average of all die outcomes.
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 rolling a fair 6-sided die?
- 2
- 3.5
- 4
💡 Hint: Think about how often each number occurs.
Question 2
True or False: The expectation of a constant is the constant itself.
- True
- False
💡 Hint: Consider what happens if the random variable was always that constant.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a city, the probability distribution of daily rainfall events can be described by a discrete random variable. If E(X) = 2 inches, how do you interpret this in practical terms?
💡 Hint: Think about how this relates to planning activities.
Question 2
For a random variable X with a uniform distribution from 1 to 5, find the variance and relate it to the mean.
💡 Hint: Use the variance formula for uniform distributions.
Challenge and get performance evaluation