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Revision as of 08:35, 21 March 2026
Let [math]X[/math] and [math]Y[/math] be continuous random variables with joint density function
[[math]]
f(x,y) = \begin{cases}
24xy, \,\, 0 \lt x \lt 1 \,\, \textrm{and} \,\, 0 \lt y \lt 1-x \\
0, \, \textrm{Otherwise.}
\end{cases}
[[/math]]
Calculate [math] \operatorname{P}[Y \lt X | X = 1/3][/math]
- 1/27
- 2/27
- 1/4
- 1/3
- 4/9
Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.