14 - Partial Differential Equations
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Practice Questions
Test your understanding with targeted questions
Define a discrete random variable.
💡 Hint: Think of examples like the number of students in a classroom.
What is a joint probability distribution?
💡 Hint: Consider the outcomes of rolling two dice.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a joint probability distribution measure?
💡 Hint: Think about how different outcomes are connected.
True or False: A joint PDF can be negative.
💡 Hint: Consider the properties of probability distributions.
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Challenge Problems
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Given a joint PDF f(x,y) = 3x^2y for 0 < x < 1, 0 < y < 1, calculate the marginal PDF of X.
💡 Hint: Remember the integration limits and the formula!
Two random variables are defined as independent if P(A and B) = ...? Fill in the blank.
💡 Hint: Think about independence concepts!
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