6.1 - Random Variables: Definition
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Practice Questions
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What is a random variable?
💡 Hint: Think about how outcomes in experiments can be quantified.
Give an example of a discrete random variable.
💡 Hint: Consider things that can be counted.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What are random variables used for?
💡 Hint: Think about where uncertainty is present.
Is a temperature reading a discrete random variable?
💡 Hint: Consider how temperature can change gradually.
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Challenge Problems
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In a game, a player wins $0, $1, or $2 with probabilities 0.5, 0.3, and 0.2 respectively. Calculate the expected value of their winnings.
💡 Hint: Use the expectation formula with given probabilities.
A continuous random variable has a PDF given by f(x) = 3x² for 0 ≤ x ≤ 1. Find the expectation of this variable.
💡 Hint: Integrate the product of x and the PDF within the defined limits.
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