I think you're covered by the parent's "besides learning to code" caveat. That's a real smooth career transition, I did it as well as a ton of friends who had the same background. ML is a particularly good fit because physics majors just LOL at the "difficult" math that trips everyone else up.
I feel like any bachelors degree in the sciences should have you capable of doing any math needed.
I am quite concerned that Doctors in the medical field have limited to no understanding of statistics. IMO, stats should be second nature to anyone with 200 level math courses.
This might be overstating it a bit. Just this week I've been studying the AdaNet paper and grappling with Noise Contrastive Estimation. I agree that with a B.S. in physics you'll at least get the calculus you need, but I think a graduate level degree really deepens your understanding since it's not the first time through and you're already familiar with the basic concepts.
Regarding doctors and stats, I share your concern. But I disagree with the statement that stats should be second nature to anyone that's gone through the courses. If I've learned one thing while going deeper and deeper into stats, it's that there's a lot more nuance than I originally understood, and I'm still not there. Just when I think I have a thorough understanding of p-values and the like, I'll read some "I can't believe everyone doesn't understand THIS" blog and see that there was more to the story still again. It's hard to know what you don't know.
0.1% are beyond that, but at that point, hopefully your 200 level skills have taught you enough to learn about solving that.
In my lifetime, I only had 1, beyond 200 level problem that required research on math to understand. And technically, it was optional, but I volunteered.
Stats is theory + math not just math. Maybe not even any math at all, just light programming using stats libraries. If you apply them wrong though, that's a big problem. Biological experiment design is a grad course, so 500 level. Still I agree that a doctor understand the theory.
