Practice Conditional Pdf (14.4.2) - Joint Probability Distributions - Mathematics - iii (Differential Calculus) - Vol 3

Practice: Conditional PDF

Lesson 14.4.2Joint Probability Distributions

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8 questions

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6 sample questions

Question 1.
Define Conditional PDF in your own words.
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Think about how one variable's understanding depends on another.
Question 2.
What is the formula for Conditional PDF?
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Recall the relationship between joint and marginal PDFs.
3Question 3.
What is the formula for Conditional PDF?
- f_{X,Y}(x,y) / f_Y(y)
- f_Y(y) / f_{X,Y}(x,y)
- f_{X,Y}(x,y) + f_Y(y)
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Consider the relationship defined by ratios.
4Question 4.
True or False: Conditional PDF can be interpreted as the ratio of joint PDF to marginal PDF.
- True
- False
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Remember the definition of Conditional PDFs.
Question 5.
Given two independent random variables X and Y, explain how their independence affects their conditional densities.
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Think about the implications of independence in probability.
Question 6.
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).
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Start by finding the marginal function before approaching the conditional PDF.

4 more questions in this section. Enroll free to practise them all.