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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a random variable?
💡 Hint: Think about how outcomes get mapped.
Question 2
Easy
Name two examples of discrete random variables.
💡 Hint: Consider countable 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 does a discrete random variable represent?
- Countable outcomes
- Uncountable outcomes
- Only continuous values
💡 Hint: Think about how we categorize outcomes.
Question 2
True or False: A PMF can be used to model continuous random variables.
- True
- False
💡 Hint: Recall the definitions of PMF and PDF.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces light bulbs, with a 5% chance of each bulb being defective. If you randomly select 10 bulbs, model the number of defective bulbs as a binomial distribution. What is the expected number of defective bulbs?
💡 Hint: Consider the probability of defectiveness for each bulb.
Question 2
A car's speed is modeled as a continuous random variable with PDF f(x) = kx for 0 ≤ x ≤ 2. Determine k and then find the CDF.
💡 Hint: Use integration to derive the total area under the PDF.
Challenge and get performance evaluation