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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What value can a discrete random variable take?
💡 Hint: Think of counting outcomes.
Question 2
Easy
What is the expected value of rolling a fair six-sided die?
💡 Hint: Add up all possible outcomes and divide by total 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 the PMF for a discrete random variable?
- A function assigning probabilities to outcomes
- A measure of dispersion
- An expected value calculation
💡 Hint: Think about how probabilities are distributed for outcomes.
Question 2
TRUE or FALSE: Continuous random variables can take any value within an interval.
- True
- False
💡 Hint: Refer to the nature of continuous data.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A factory produces light bulbs with a defect rate of 10%. Define a discrete random variable X representing the number of defective bulbs in a sample of 10. Calculate its expected value and variance.
💡 Hint: Use the binomial distribution.
Question 2
A random variable X has a PDF defined as f(x) = 3x² for 0 ≤ x ≤ 1. Find the expectation and variance of X.
💡 Hint: Remember to compute both E(X) and E[X²] for variance!
Challenge and get performance evaluation