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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a random variable.
💡 Hint: Think about how outcomes of experiments can be quantified.
Question 2
Easy
Give an example of a discrete random variable.
💡 Hint: Consider an experiment with a limited number of 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 a random variable?
- A function relating outcomes to numbers
- A fixed value
- A type of probability distribution
💡 Hint: Think about experiments and how outcomes can be represented.
Question 2
True or False: A PMF can sum to a number greater than one.
💡 Hint: Consider the rules of probability.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a discrete random variable representing the roll of two six-sided dice, calculate the PMF for the sum of the dice.
💡 Hint: Think about all combinations that can lead to each sum.
Question 2
A continuous random variable X has a PDF of f(x) = 3x^2 for 0 ≤ x ≤ 1. Calculate the expected value E(X).
💡 Hint: Integrate to find area and then multiply accordingly!
Challenge and get performance evaluation