If you read any classic text on statistics like Feller you can't get past the first chapter without hitting calculus. Any statistician will be very, very familiar with the Central Limit Theorem, for example.
Yea of course they will. That doesn't mean they spend their days explicitly enumerating limits of functions, and limits are pre-calc anyway. The point isn't that calculus isn't /integral/ in mathematics, just that it's not _necessarily_ (I did say necessarily) the workhorse of the applied statistician.
