This is a little surprising to me. I was required to take a probability class for my BS in electrical engineering, and a version of this problem was a homework question.
Funny you should call this out: As an undergrad I got to choose between a prob & statistics path and a complex math / advance calc path. I took the complex math path. However, I was required to take a semester on engineering methods that touched on statistics, but that was part of one semester. As a grad student, I went down the numerical methods path for parallel computing. Not as many classes as undergrad, but still.
College: RPI. Graduation year: '91.