With your current GRE score, your application will probably be filtered out in the first round. As a quantitative discipline, doing well in the GRE Q does not help your application but anything less than a near perfect GRE Q is a red flag. I would try my best to improve GRE Q to at least the 90th percentile. Even with a perfect GRE Q, you may still have trouble getting into top 50. You have the bare minimum math background to apply for statistics PhD and your B's in real analysis and probability will raise admissions committee's concern of your ability to succeed in PhD level courses. In order to improve your chances, you could first apply to master's programs in statistics, which allows you to take more advanced proof-based math and statistics courses and possibly write a thesis. UBC's master's program is definitely a good choice but since it is funded, it is harder to get into. If you do well in your master's, you could probably get into schools at the level of UIUC and UF.