Stats is pretty detailed, but you don't need to know that much I.e. regression and hypothesis testing. This material is really covered in depth 2 & 3, so you do need a good grasp of the basics of stats.
To get through level 1, non quant material, you need to know, at a minimum:
1) Standard Deviation (Variance)
2) Mean and Expected Mean
3) Basic Probability
4) Correlation (And implicitly covariance)
5) Coefficient of Variation
6) How to apply a regression formula in estimating a dependant variable.
Now the first 3 will definatly show up, in fact most of basic finance risk analysis is based upon Standard deviation and for porfolio management you need to know a few things about that. Correlation and covariance will show up, most likely in the form of a question on diversification, so you do need to know they function mathematically and practically and 5 and 6 are not that tough, but may show up on an application question.
I would suggest at least getting an intro stats course under your belt and maybe something to do with regression, stats can be overwhelming if you don't have a course under your belt, but a piece of cake if you've done multi-variable regession

.