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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a discrete random variable? Provide an example.
💡 Hint: Think about outcomes of simple experiments.
Question 2
Easy
What does PMF stand for?
💡 Hint: It's related to how we calculate probabilities for discrete variables.
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 does a discrete random variable represent?
- Countable outcomes
- Uncountable outcomes
- Both countable and uncountable
💡 Hint: Consider how many different outcomes can be listed.
Question 2
True or False: The PMF can take on negative probabilities.
- True
- False
💡 Hint: Recall the basic properties of probability.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A game involves rolling a fair cube three times. What is the probability of getting exactly two sixes?
💡 Hint: Identify n, k, and p to use the binomial formula correctly.
Question 2
Given a random variable X with the following PMF: P(X=0) = 0.3, P(X=1) = 0.4, P(X=2) = 0.3. Calculate the variance.
💡 Hint: You will need to find E[X²] first; sum the square of x times their respective probabilities.
Challenge and get performance evaluation