What are Y and y in a probability density function f_Y(y)?

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[tex]f_Y(y)[/tex]

f means density function what are Y and y
?
 
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It's probably the partial derivative of f with respect to Y at y.
 
Or, in some cases, the capital Y can represent the restriction of the domain of f to Y.
 
with respect to probability(its not what you said)
 
[itex]f_Y[/itex] is the given density function of random variable Y and [itex]f_Y(y)[/itex] is its value for some specific value y.