6.7 - Further Reading
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Practice Questions
Test your understanding with targeted questions
Define a random variable.
💡 Hint: Think about how outcomes of experiments can be quantified.
Give an example of a discrete random variable.
💡 Hint: Consider an experiment with a limited number of outcomes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a random variable?
💡 Hint: Think about experiments and how outcomes can be represented.
True or False: A PMF can sum to a number greater than one.
💡 Hint: Consider the rules of probability.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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!
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