I want to model a random variable which represents the number of failures before success in a repeated Bernoulli trial. I will conduct only utmost
N trails and I am guaranteed of one success (only one success possible) if
N trials are conducted. What is the appropriate distribution? If
N can go to infinity I think geometric distribution models the situation, but in my case
N is finite and is known in advance.
My situation is such that the random variable has the geometric distribution properties, in the sense that, the first trial is most likely to successful, the success rate decreasing as trials increases. But within N trials, I am sure of success.