13.1.1 - Random Variables: Discrete vs Continuous
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Practice Questions
Test your understanding with targeted questions
What is a discrete random variable? Provide an example.
💡 Hint: Think of variables that can be counted easily.
What is one property of a PDF?
💡 Hint: Think about the chances of probability being negative.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of random variable can take on countable values?
💡 Hint: Think about whether the values can be counted.
True or False: The total area under a PDF is always equal to one.
💡 Hint: Consider how probabilities sum up across all outcomes.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a PDF defined as f(x) = 1/3 for 0 ≤ x ≤ 3 and 0 otherwise, calculate P(1 ≤ X ≤ 2).
💡 Hint: Use the integral of the PDF over the specified interval.
For a continuous variable with mean μ and variance σ², derive the PDF for the normal distribution.
💡 Hint: Consider the characteristics of normal distributions and their symmetrical properties.
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