I mean
Expectation[y \[Conditioned] x/y == t, {x \[Distributed] ExponentialDistribution[2],
y \[Distributed] ExponentialDistribution[3]}]
returns the input in 13.2 on Windows 10. That expectation can be calculated as follows.
Expectation[y \[Conditioned] x/y <= t + eps && x/y >= t - eps,
{x \[Distributed] ExponentialDistribution[2], y \[Distributed] ExponentialDistribution[3]}]
Piecewise[{{(2*(3 + eps + t))/(9 + 6*eps + 6*t), eps >= t && eps > 0 && eps + t > 0}, {(6 + 4*t)/(-4*eps^2 + (3 + 2*t)^2), eps < t && eps > 0}}, 0]
Limit[%, eps -> 0, Direction -> "FromAbove"]
Piecewise[{{2/(3 + 2*t), t >= 0}}, 0]
I am not able to trace the command under consideration to find out the reason. It would be kind of more experienced users to explain such a behavior.
Expectation[ y \[Conditioned] x + y == t, {x \[Distributed] ExponentialDistribution[2], y \[Distributed] ExponentialDistribution[3]}]
andExpectation[ y \[Conditioned] x * y == t, {x \[Distributed] ExponentialDistribution[2], y \[Distributed] ExponentialDistribution[3]}]
$\endgroup$