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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