14.4.2 - Conditional PDF
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Practice Questions
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Define Conditional PDF in your own words.
💡 Hint: Think about how one variable's understanding depends on another.
What is the formula for Conditional PDF?
💡 Hint: Recall the relationship between joint and marginal PDFs.
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Interactive Quizzes
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What is the formula for Conditional PDF?
💡 Hint: Consider the relationship defined by ratios.
True or False: Conditional PDF can be interpreted as the ratio of joint PDF to marginal PDF.
💡 Hint: Remember the definition of Conditional PDFs.
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Challenge Problems
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Given two independent random variables X and Y, explain how their independence affects their conditional densities.
💡 Hint: Think about the implications of independence in probability.
A random variable has a joint PDF defined by f_{X,Y}(x,y) = 3x^2y for 0 < x < 1 and 0 < y < 1. Calculate the Conditional PDF f_{X|Y}(x|y).
💡 Hint: Start by finding the marginal function before approaching the conditional PDF.
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