Hi wonder if someone could point me in the right direction with this problem.
"A basketball coach wishes to estimate probability of success pi of a player based on observing a game. She has no prior knowledge of the player so allocates a flat non-informative prior p(pi)=1, where pi is between 0 and 1. The player scores 6 goals from 6 attempts in the game, derive an expression for the players posterior probability p(pi|y) and find the normalising constant."
Thanks in advance, any help would be appreciated.
WolframAlpha will do that for you.
But you should be able to do definite integrals of powers of the variable of integration as a prerequisite to doing this stuff.
CB
Answer to what? And without showing your working how are we to know what you're trying to do and what mistakes you're making?
Posts #2 and #4 give you the complete solution to the question you originally posted. There's nothing more can be done. Your trouble is not with this question but with the basic prerequisite concepts and skills this question depends on you knowing.
You are therefore strongly advised to go back and thoroughly review those concepts and skills. Without an understanding of the necessary building blocks, the probability of you understanding how to do other questions like this one are slim.