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Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
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Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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