stat quetions a,b,c,d, with explanation please

Exercise 11.3: Another Bayesian Coin Exercise 7 points Assume Alice has a biased coin. She does not know the probability py of heads and decides for a uniform prior in [0, 1]. (a) Assume that Alice flips the coin 10 times and receives 7 heads and 3 tails. What can you-before doing Bayesian inference say about the posterior probability distribution over PH. (b) What is the probability of this result assuming PH = 0.5? Use the Binomial distribution to find out. (c) Use Python to compute the posterior probability distribution of PH. To do this, create a grid over PH E [0, 1] with 101 data points. Compute the unnormalized likelihood using the Binomial distribution and normalize the posterior to get a valid probability. Do you recognize the type of the posterior distribution? (d) Show that using a Beta(a, 3) prior would result in an equivalent posterior for some specific a, B