stats vs cs. If you are good at math, take the background preliminary courses in programming and develop your math skills. Math is hard.....! I say it again math is hard.
What sort of job are you going for. If you have taken introductory courses in fundamentals of programming, algorithms and data abstractions, then you don't need more programming classes. As you will learn other programming stuff on the job. In banks, most math quants can program but not as well as the CS people. Honestly, if you have mastered recursion, linked-lists and data abstraction - you are fine for most programming jobs. A masters in statistics is different from an MFE.
In an MFE, you use bits of stats. In the masters in statistics you really go in depth some people find this boring. you seem undecided on what you want. I would take the extra time to get those prerequisites. Then you can decide what you want: stat, cs or more math. I remember a famous CS masters student who got fed up of CS. He took a few years to get a second major in math and went on to do a phd in Math - probability I believe. His view was CS was good but the math stuff gave him something extra. and in case you hadn't heard it before - math is hard.
Many engineers pretend to know math. they don't. you have to decide what camp you fall in: theorem proof math guy, or applied engineering dude who also do good numerical stuff. the world needs both. so who are you. decide and move on.