Can the presence of radon (Rn-222) be determined by testing dust?

If a relatively unventilated area, like a basement, were to be exposed to radon gas (Rn-222), would the dust in the area possess a detectable amount of lead? Considering lead 214 is a decay product of radon 222, will a room exposed to radon gas possess dust with a detectable and differentiable amount of lead relative to a room that is unexposed?


