Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
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 rolling a fair 6-sided die?
💡 Hint: Use the average of the outcomes from 1 to 6.
Question 2
Easy
If a coin is flipped, what is the expected number of heads in 3 flips?
💡 Hint: Consider the probability of heads in each flip.
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 fair 6-sided die?
- 2
- 3
- 3.5
- 4
💡 Hint: Think about the sum of the possible results divided by the number of outcomes.
Question 2
True or False: The expectation of the sum of random variables equals the sum of their expectations.
- True
- False
💡 Hint: Consider how averages aggregate.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a PDF f(x) = 2x for 0 < x < 1, calculate E(X).
💡 Hint: Use integration to find the average under the probability density function.
Question 2
Explain how stochastic PDEs arise in real-world scenarios. Provide a detailed example.
💡 Hint: Connect physical systems and randomness in your explanation.
Challenge and get performance evaluation