Coin with random bias. You are given a coin but are not told what its bias (probability of heads) is. You are told instead that the bias is the outcome of a random variable P ? Unif[0,1]. To get more infromation about the coin bias, you flip it independently 10 times. Let X be the number of heads you get. Thus X ? Binom(10, P ). Assuming that X = 9, find and sketch the conditional pmf of P, i.e., fP|X(p|9).

Coin with random bias. You are given a coin but are not told what its bias (probability of heads) is. You are told instead that the bias is the outcome of a random variable P ~ Unif[0, 1]. To get more infromation about the coin bias, you flip it independently 10 times. Let X be the number of heads you get. Thus X ~ Binom (10, P). Assuming that X = 9, find and sketch the conditional pmf of P, i.e., fpix (p|9)