Hello,

I agree there is a 'problem' in what they call 'distribution function'. But as you say, cdf should be an increasing function, and here it's decreasing. So one can think that it is instead the survival function (which is 1-cdf). Not well worded.

Yes, we need to know if F_Y is not 0 for t=2.

Additionally, they don't clearly state if the rv's are independent...

Well, several weird things in this problem...