How do I find the distribution of years until X1 is exceeded for the first time?

[baoheli]

Hello all, I have a question about distribution. Can you help me? Thank you!

Here is the problem:

X1,X2,... are continuous and independent, with marginal pdf f(x). Xi represents the of sunny day of the ith year. How to derive the distribution of the number of years until the first year's sunny days, X1, is exceeded for the first time?

 

[ascapoccia]

I would begin by looking at the poissson distibution and seeing if you can use that to answer this problem: http://en.wikipedia.org/wiki/Poisson_distribution

 

[Focus]

This looks like homework to me. Either way, you need to show some working or point out what you struggle with. No one is going to hand a solution to you.