[dagw]

True, but you don't need a lot of calculus to do a large amount of interesting statistics and probability. And the little you do need is probably better being taught as needed in response to actual problems showing up. Most people learn better when they see a clear reason for what they are being taught.

Start with discrete probability, no calculus needed. Then when you move to continuous case show how integrals show up naturally in place of sums, and hey presto a clear and obvious intro calculus which far more people will understand the use for.