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
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the expectation E[X] for a discrete random variable X with outcomes 1, 2, and 3 having probabilities 0.2, 0.5, and 0.3 respectively?
💡 Hint: Multiply each outcome by its probability and sum the results.
Question 2
Easy
In a simple game, you can roll a die. What is the expected value of the roll?
💡 Hint: Use the average of the outcomes of a fair die.
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 formula for expectation E[X] for discrete random variables?
💡 Hint: Think of how averages are calculated.
Question 2
True or False: The expectation of a continuous random variable is obtained by a summation.
- True
- False
💡 Hint: Remember the difference between discrete and continuous cases.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose X and Y are two independent random variables each with a mean of 3. Calculate E[X + 2Y].
💡 Hint: Use the linearity of expectation property.
Question 2
Given the joint pdf f(x,y) = 6xy in the region [0,1] find E[XY].
💡 Hint: Make sure to set up the correct double integral.
Challenge and get performance evaluation