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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 what a random experiment is.
Question 2
Easy
What is a discrete random variable?
💡 Hint: Consider examples like rolling dice or coin tosses.
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 type of random variable can take on a countable number of values?
- Continuous Random Variable
- Discrete Random Variable
- Both
💡 Hint: Recall the definitions of each type.
Question 2
True or False: The total probability across all values for a PMF sums to 1.
- True
- False
💡 Hint: Think about the definition of probability for random variables.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces lightbulbs with a probability of 0.02 being defective. Let X be the number of defective lightbulbs in a batch of 100. Model X and determine its PMF.
💡 Hint: Relate the problem to a binomial scenario with trials.
Question 2
A continuous random variable X has a distribution defined from a PDF of f(x) = 4x for 0 < x < 0.5. Calculate the expected value E(X).
💡 Hint: Set up the integral for the expected value using the PDF.
Challenge and get performance evaluation