The probability of Heads

The probability of Heads of a coin is y, and this bias y is itself the realization of a random variable } which is uniformly distributed on the interval [0, 1]- To estimate the bias of this coin. We flip it 6 times, and define the (observed) random variable /V as the number of Heads in this experiment. Throughout this problem, you may find the following formula useful: For every positive integers n, k, n!k! (n + k + 1)! 1. Given the observation /V = 3, calculate the posterior distribution of the bias Y". That is, find the conditional distribution of Y, given N = 3. For 0