paris flight to train transfer

I would be a little nervous about this; I've taken several trains immediately after arrival at CDG from the USA, AND I didn't have to collect checked luggage... I don't know when your trip is - would you save a considerable amount of money with advance-purchase train tickets? If so, then in the past I've gambled that I could make the train - and did - BUT was prepared to pay full-fare for replacement tickets just in case. Those advance-purchase tickets will probably be non-refundable and not applicable towards the purchase of new tickets :-( It looks like the next train is several hours later and involves leaving from a Paris (city) train station (= more hassle); I'd probably gamble and buy an advance-purchase ticket for the 14:48 train (the added bonus being you don't have to stand in a looong line to purchase your ticket AT CDG - you can print it out at home - probably) and cross my fingers. Otherwise, you can kill some of that extra time standing in line...buying your new ticket. If you don't have to check (and collect) luggage I wouldn't; that will buy you a lot of time!

If the plane's on time and you land anywhere at Terminal 2 (except T2G) you'll be fine. Anything else and it's starting to be a coin toss, even at that time of day.

If you can travel light enough to carry everything on (and thus skip baggage claim), no problem. Otherwise a close call, as Ed says.

To reinforce what others have said, if you arrive on time with a self-printed ticket in hand and don't have to claim any luggage, you should be fine.

One in the afternoon is very busy at the airport. Customs is nothing, passport control could hold you up if a bunch of planes are arriving at the same time, bags can take forever, especially if you are economy b/c everyone else's bags get a priority tag put on them.
So if you have your ticket in hand, no checked bags, are on the top deck of an Airbus 380, manage to sit toward the front if you are on a 747 or another plane that parks out in the boonies and shuttles people into the terminal, if three other planes aren't landing at the same time with people lined up to go through passport control and you don't have a bunch of people controllers find suspicious in front of you in line, you might make it. That's a lot of ifs; what time is the next train just in case? If you miss the train you have one hour after it leaves the station to cash in the ticket for a new one with a 10 euro penalty. But you'd have to wait in a horribly long line. If you decide to buy a ticket when you arrive, you need to get a chip and pin visa card from Andrews Federal Credit Union so you can use the automatic ticket machines. We've had a bunch of threads on this credit card. I landed Monday am at 6, got in line for a ticket after 7 with only about four people ahead in line. By 9 am the line was out the door and snaking across the station to see a real human.