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¿Porque no los dos?

How will you differentiate probability generating functions if you don't know calculus ?

How will you know how to integrate a CDF from a PDF without calculus and vice versa ?

One would know conceptually how a measure works without knowing specific integration rules.

This would then enable a person to interpret statistical claims and conceptually understand a distribution without necessarily being able to reproduce the calculations from scratch.

Come on, it only takes a couple of hours to learn the basics of calculus.

Finding the volume of things from their surface areas and you can integrate.

These are not difficult concepts.

The title would be laughable if it were not published in the Wall Street Journal (and paywalled). Why do we persist in denigrating reasoned analysis and modeling. Truth is, a scientist or engineer needs to know both the calculus and statistics and a whole lot of other mathematics.