I just realized I used "one" instead of "on". :-P
Some statistics from my little python simulation:
n: 1000 (I ran my simulation 1000 times)
Mean: 10425.721 days
Stddev: 1005.34467779 days
Min: 7506 days
Q1: 9711 days
Median: 10391 days
Q3: 11074 days
Max: 14090 days
Note: can someone tell me how to do single linebreaks in the comments?