There are 2 questions : )

how did warm, moist air turn into a cloud?

explain the specific conditions in the area that lead to that specific type of precipitation?

I can answer the first question: Water rises because of the sun's heat and turns into water vapor. After that, it gathers up and forms a cloud. When the cloud is filled enough with vapor, precipitation occurs.

For the first question, evaporation is when water evaporates and rises into the air, causing condensation, which turns warm and moist air into a cloud.
For the second question, if it were to precipitate in an area that is low in elevation, there would be no snow, sleet, or hail. There would only be raining, although not a lot. An example of these places is the desert (like Death Valley). If it were to precipitate in an area that is high in elevation, then it would be a different matter altogether. It would rain frequently, and it would also snow. There may also be sleet or hail. An example of these places would be the mountains (like Big Bear Mountain or something). Finally, if it is a level area and is near sea level, than it would neither precipitate frequently or almost never, it would just be like maybe it rained today, and we may not have any more rain for a month, or maybe it might unexpectedly rain for another 5 days in a row. You know what I mean? An example for these places is... let's say Irvine.
I hoped this helped you and have a great day!

Hey hope you get the answer but i suck at math sorry : (