Let X and Y be random variables with joint pdf f(x, y) = 3x1{0 0.25}). (c) Compute the marginal density functions, fx(x) and fy(y).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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So, I figured out how to solve part (a) of this question. However, I do not understand how to apply the integral calculations or 3x to part (b). So, please explain your solution steps to me. I want to learn how to solve these problems, but I am having some difficulty teaching myself. Thank you! 

Let X and Y be random variables with joint pdf
f(x, y) = 3x1{0 < y <x < 1}.
(a) Confirm that f(x, y) is a joint density function by showing that
L lo f(x, y) dy dx = 1.
R
(b) Compute P({0 < X < 0.5}N{Y > 0.25}).
(c) Compute the marginal density functions, fx(x) and fy(y).
Transcribed Image Text:Let X and Y be random variables with joint pdf f(x, y) = 3x1{0 < y <x < 1}. (a) Confirm that f(x, y) is a joint density function by showing that L lo f(x, y) dy dx = 1. R (b) Compute P({0 < X < 0.5}N{Y > 0.25}). (c) Compute the marginal density functions, fx(x) and fy(y).
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