Is it normal to get urges of extreme anger, frustration, despair, murderous and genocidal thoughts if one cannot solve a math problem even after reading through the books, watching youtube vids and searching on google?
well it seems
f(y,p) = f(y|p) * f(p)
y|p ~ binomial (n, p)
p ~ beta (alpha, beta)
you're looking for f(y) so you integrate f(y,p) for all possible p's.
You use the fact that the integral from 0 to 1 of
p^(x-1) * (1-p)^(y-1)
and you obtain the resulting distribution for f(y)
Except the murderous part yes. Welcome to mathematics! As an aside, this also happens in applied theory, when no one has ever asked a question similar to yours and you have to do all the findings on your own.
>mfw the expanded form of bayes rules
>mfw you cant solve bayes rule