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Hi, I think I am stuck in my understanding of "inverse" probability distributions.
This is a question I would like to have help understanding.
I want to figure out the distribution of number of trials for a given fixed number of successes and given probability for success for Bernoulli trials.
Denote the probability of success per trial as p , the number of successes as s, the number of trials t, I want to obtain the distribution of t if p and s are given/fixed.
I know that for a fixed number of trials t, I can get the probability distribution for number of successes s with the Binomial distribution, but can i "invert" it so to say?
Let's say the probability of success is 1:10 (p = 0.10).
If I get say s = 20 of those events, is there a way to figure out a probability distribution of the number of trials t?
Thanks in advance
This is a question I would like to have help understanding.
I want to figure out the distribution of number of trials for a given fixed number of successes and given probability for success for Bernoulli trials.
Denote the probability of success per trial as p , the number of successes as s, the number of trials t, I want to obtain the distribution of t if p and s are given/fixed.
I know that for a fixed number of trials t, I can get the probability distribution for number of successes s with the Binomial distribution, but can i "invert" it so to say?
Let's say the probability of success is 1:10 (p = 0.10).
If I get say s = 20 of those events, is there a way to figure out a probability distribution of the number of trials t?
Thanks in advance
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