The students coming out of calculus know nothing of what derivatives and integrals mean. Computers can NOW do all the manipulations they learn. The second hit would be that we need to change the way of delivering material. The students need to learn the concepts of probability and statistics, and mathematics. They do not need to be taught a cookbook.
Any good cook knows how to deviate from recipes.
The two electives will depend on the selected area of application. From a mathematical standpoint, probability is measure and integration on spaces with total measure 1. One does not need to go into the technical problems, but the current courses lose the concepts completely. Computers, and often even pocket calculators, can do the manipulations. Instead of the present system, which provides a catalog of procedures without the background to use them intelligently, teach the concepts.