I was calculating a conditional density function and I got an answer of 2x+3y all over 2x+3/2.  When I checked the answer, it was 4x+6y all over 4x+3.   Those two answers are the same, but my question is--is there some protocol as far as what is proper form to express an answer in when dealing with density functions?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 31E
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I was calculating a conditional density function and I got an answer of 2x+3y all over 2x+3/2.  When I checked the answer, it was 4x+6y all over 4x+3.  

Those two answers are the same, but my question is--is there some protocol as far as what is proper form to express an answer in when dealing with density functions?

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Introduction:

The conditional density of X given Y is the joint density, f (x, y), divided by the marginal density of Y, say, fY (y). Similarly, the conditional density of Y given X is the joint density, f (x, y), divided by the marginal density of X, say, fX (x).

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