(Since reddit r/mathematics won't accept me, so I put it here, any idea welcome)

Ok this may sounds not like a math problem, but please be patient listen to my story and help me.

I have a neighbor who has an broken air conditioner, which randomly making some annoying noise, and this really bothering me.

I already ask police and other delegate to ask him to fix it, but he seems to refuse or ignore them all.

Our government rule says the rule to enforce one to fix this kinds of problem is to have local environment protection agency send someone with very expensive equipment (30k usd around) to measure the noise, if the noise exceeds the threshold by law, EPA will send him a notice and ask him to fix it in 30 days, after that he will be fine like 100usd per time or per day until he fix it.

Here is the tricky part, the noise is not constly being produced. And i have no idea under what condition the noise will be produced again.

Sure, the easies strategy here is to ask EPA dispatch more inspections (increase frequency), but the EPA staff also tell me that if they came too many times but founds nothing will think I am doing a prank call.

So what i am asking is, is there a math strategy that can help me more precisely dispatch inspections (i think an overall 60% precision will be excellent) to catch the noise.

This is just an idea. I am really tired to dealing with this annoying problem, and running out strategy.